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Finding the Fourth Proportional to 25,576.32, 38,349.90 and 13,715.49

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Solution

The fourth proportional to 25,576.32, 38,349.90 and 13,715.49 is: 20,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576.32 : 38,349.90 = 13,715.49 : x
  2. Step 2: Convert to fraction form
    25,576.32/38,349.90 = 13,715.49/x
  3. Step 3: Cross multiply
    25,576.32x = 38,349.90 × 13,715.49
  4. Step 4: Simplify right side
    25,576.32x = 525,987,669.95
  5. Step 5: Solve for x
    x = 525,987,669.95/25,576.32
  6. Step 6: Final answer
    x = 20,565.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.