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Finding the Fourth Proportional to 25,882.53, 35,715.90 and 15,815.85

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Solution

The fourth proportional to 25,882.53, 35,715.90 and 15,815.85 is: 21,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.53 : 35,715.90 = 15,815.85 : x
  2. Step 2: Convert to fraction form
    25,882.53/35,715.90 = 15,815.85/x
  3. Step 3: Cross multiply
    25,882.53x = 35,715.90 × 15,815.85
  4. Step 4: Simplify right side
    25,882.53x = 564,877,317.02
  5. Step 5: Solve for x
    x = 564,877,317.02/25,882.53
  6. Step 6: Final answer
    x = 21,824.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.