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Finding the Fourth Proportional to 13,202.76, 18,219.80 and 7,234.88

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Solution

The fourth proportional to 13,202.76, 18,219.80 and 7,234.88 is: 9,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.76 : 18,219.80 = 7,234.88 : x
  2. Step 2: Convert to fraction form
    13,202.76/18,219.80 = 7,234.88/x
  3. Step 3: Cross multiply
    13,202.76x = 18,219.80 × 7,234.88
  4. Step 4: Simplify right side
    13,202.76x = 131,818,066.62
  5. Step 5: Solve for x
    x = 131,818,066.62/13,202.76
  6. Step 6: Final answer
    x = 9,984.13

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Half scale
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Double scale
Find fourth proportional to 13,203.76, 18,221.18 and 7,235.88
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.