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Finding the Fourth Proportional to 13,188.74, 18,200.74 and 7,220.66

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Solution

The fourth proportional to 13,188.74, 18,200.74 and 7,220.66 is: 9,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.74 : 18,200.74 = 7,220.66 : x
  2. Step 2: Convert to fraction form
    13,188.74/18,200.74 = 7,220.66/x
  3. Step 3: Cross multiply
    13,188.74x = 18,200.74 × 7,220.66
  4. Step 4: Simplify right side
    13,188.74x = 131,421,355.29
  5. Step 5: Solve for x
    x = 131,421,355.29/13,188.74
  6. Step 6: Final answer
    x = 9,964.66

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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.