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Finding the Fourth Proportional to 10,113.61, 13,957.68 and 6,136.92

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Solution

The fourth proportional to 10,113.61, 13,957.68 and 6,136.92 is: 8,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.61 : 13,957.68 = 6,136.92 : x
  2. Step 2: Convert to fraction form
    10,113.61/13,957.68 = 6,136.92/x
  3. Step 3: Cross multiply
    10,113.61x = 13,957.68 × 6,136.92
  4. Step 4: Simplify right side
    10,113.61x = 85,657,165.55
  5. Step 5: Solve for x
    x = 85,657,165.55/10,113.61
  6. Step 6: Final answer
    x = 8,469.49

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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.