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Finding the Fourth Proportional to 25,113, 34,657.56 and 13,935

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Solution

The fourth proportional to 25,113, 34,657.56 and 13,935 is: 19,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 34,657.56 = 13,935 : x
  2. Step 2: Convert to fraction form
    25,113/34,657.56 = 13,935/x
  3. Step 3: Cross multiply
    25,113x = 34,657.56 × 13,935
  4. Step 4: Simplify right side
    25,113x = 482,953,098.60
  5. Step 5: Solve for x
    x = 482,953,098.60/25,113
  6. Step 6: Final answer
    x = 19,231.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.