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Finding the Fourth Proportional to 22,915.16, 34,385.46 and 12,384.92

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Solution

The fourth proportional to 22,915.16, 34,385.46 and 12,384.92 is: 18,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.16 : 34,385.46 = 12,384.92 : x
  2. Step 2: Convert to fraction form
    22,915.16/34,385.46 = 12,384.92/x
  3. Step 3: Cross multiply
    22,915.16x = 34,385.46 × 12,384.92
  4. Step 4: Simplify right side
    22,915.16x = 425,861,171.26
  5. Step 5: Solve for x
    x = 425,861,171.26/22,915.16
  6. Step 6: Final answer
    x = 18,584.25

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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.