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Finding the Fourth Proportional to 10,898.47, 16,350.87 and 5,636.45

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Solution

The fourth proportional to 10,898.47, 16,350.87 and 5,636.45 is: 8,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.47 : 16,350.87 = 5,636.45 : x
  2. Step 2: Convert to fraction form
    10,898.47/16,350.87 = 5,636.45/x
  3. Step 3: Cross multiply
    10,898.47x = 16,350.87 × 5,636.45
  4. Step 4: Simplify right side
    10,898.47x = 92,160,861.21
  5. Step 5: Solve for x
    x = 92,160,861.21/10,898.47
  6. Step 6: Final answer
    x = 8,456.32

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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.