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Finding the Fourth Proportional to 25,129.50, 34,679.16 and 13,951.50

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Solution

The fourth proportional to 25,129.50, 34,679.16 and 13,951.50 is: 19,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.50 : 34,679.16 = 13,951.50 : x
  2. Step 2: Convert to fraction form
    25,129.50/34,679.16 = 13,951.50/x
  3. Step 3: Cross multiply
    25,129.50x = 34,679.16 × 13,951.50
  4. Step 4: Simplify right side
    25,129.50x = 483,826,300.74
  5. Step 5: Solve for x
    x = 483,826,300.74/25,129.50
  6. Step 6: Final answer
    x = 19,253.32

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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.