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Finding the Fourth Proportional to 13,235.76, 19,818.12 and 6,982.80

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Solution

The fourth proportional to 13,235.76, 19,818.12 and 6,982.80 is: 10,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.76 : 19,818.12 = 6,982.80 : x
  2. Step 2: Convert to fraction form
    13,235.76/19,818.12 = 6,982.80/x
  3. Step 3: Cross multiply
    13,235.76x = 19,818.12 × 6,982.80
  4. Step 4: Simplify right side
    13,235.76x = 138,385,968.34
  5. Step 5: Solve for x
    x = 138,385,968.34/13,235.76
  6. Step 6: Final answer
    x = 10,455.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.