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Finding the Fourth Proportional to 25,713.78, 38,570.70 and 10,131

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Solution

The fourth proportional to 25,713.78, 38,570.70 and 10,131 is: 15,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.78 : 38,570.70 = 10,131 : x
  2. Step 2: Convert to fraction form
    25,713.78/38,570.70 = 10,131/x
  3. Step 3: Cross multiply
    25,713.78x = 38,570.70 × 10,131
  4. Step 4: Simplify right side
    25,713.78x = 390,759,761.70
  5. Step 5: Solve for x
    x = 390,759,761.70/25,713.78
  6. Step 6: Final answer
    x = 15,196.51

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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.