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Finding the Fourth Proportional to 25,103, 34,643.76 and 13,925

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Solution

The fourth proportional to 25,103, 34,643.76 and 13,925 is: 19,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,103 : 34,643.76 = 13,925 : x
  2. Step 2: Convert to fraction form
    25,103/34,643.76 = 13,925/x
  3. Step 3: Cross multiply
    25,103x = 34,643.76 × 13,925
  4. Step 4: Simplify right side
    25,103x = 482,414,358
  5. Step 5: Solve for x
    x = 482,414,358/25,103
  6. Step 6: Final answer
    x = 19,217.40

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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.