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Finding the Fourth Proportional to 19,729.01, 29,593.05 and 9,187.67

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Solution

The fourth proportional to 19,729.01, 29,593.05 and 9,187.67 is: 13,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.01 : 29,593.05 = 9,187.67 : x
  2. Step 2: Convert to fraction form
    19,729.01/29,593.05 = 9,187.67/x
  3. Step 3: Cross multiply
    19,729.01x = 29,593.05 × 9,187.67
  4. Step 4: Simplify right side
    19,729.01x = 271,891,177.69
  5. Step 5: Solve for x
    x = 271,891,177.69/19,729.01
  6. Step 6: Final answer
    x = 13,781.29

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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.