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Finding the Fourth Proportional to 25,863.88, 38,807.34 and 13,549

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Solution

The fourth proportional to 25,863.88, 38,807.34 and 13,549 is: 20,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.88 : 38,807.34 = 13,549 : x
  2. Step 2: Convert to fraction form
    25,863.88/38,807.34 = 13,549/x
  3. Step 3: Cross multiply
    25,863.88x = 38,807.34 × 13,549
  4. Step 4: Simplify right side
    25,863.88x = 525,800,649.66
  5. Step 5: Solve for x
    x = 525,800,649.66/25,863.88
  6. Step 6: Final answer
    x = 20,329.53

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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.