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Finding the Fourth Proportional to 25,931.80, 38,897.70 and 15,434.20

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Solution

The fourth proportional to 25,931.80, 38,897.70 and 15,434.20 is: 23,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.80 : 38,897.70 = 15,434.20 : x
  2. Step 2: Convert to fraction form
    25,931.80/38,897.70 = 15,434.20/x
  3. Step 3: Cross multiply
    25,931.80x = 38,897.70 × 15,434.20
  4. Step 4: Simplify right side
    25,931.80x = 600,354,881.34
  5. Step 5: Solve for x
    x = 600,354,881.34/25,931.80
  6. Step 6: Final answer
    x = 23,151.30

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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.