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Finding the Fourth Proportional to 25,650, 38,486.85 and 10,862.34

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Solution

The fourth proportional to 25,650, 38,486.85 and 10,862.34 is: 16,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 38,486.85 = 10,862.34 : x
  2. Step 2: Convert to fraction form
    25,650/38,486.85 = 10,862.34/x
  3. Step 3: Cross multiply
    25,650x = 38,486.85 × 10,862.34
  4. Step 4: Simplify right side
    25,650x = 418,057,250.23
  5. Step 5: Solve for x
    x = 418,057,250.23/25,650
  6. Step 6: Final answer
    x = 16,298.53

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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.