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Finding the Fourth Proportional to 25,137, 34,690.14 and 13,959

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Solution

The fourth proportional to 25,137, 34,690.14 and 13,959 is: 19,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137 : 34,690.14 = 13,959 : x
  2. Step 2: Convert to fraction form
    25,137/34,690.14 = 13,959/x
  3. Step 3: Cross multiply
    25,137x = 34,690.14 × 13,959
  4. Step 4: Simplify right side
    25,137x = 484,239,664.26
  5. Step 5: Solve for x
    x = 484,239,664.26/25,137
  6. Step 6: Final answer
    x = 19,264.02

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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.