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Finding the Fourth Proportional to 31,957.92, 47,940.38 and 8,586.18

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Solution

The fourth proportional to 31,957.92, 47,940.38 and 8,586.18 is: 12,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.92 : 47,940.38 = 8,586.18 : x
  2. Step 2: Convert to fraction form
    31,957.92/47,940.38 = 8,586.18/x
  3. Step 3: Cross multiply
    31,957.92x = 47,940.38 × 8,586.18
  4. Step 4: Simplify right side
    31,957.92x = 411,624,689.02
  5. Step 5: Solve for x
    x = 411,624,689.02/31,957.92
  6. Step 6: Final answer
    x = 12,880.21

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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.