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Finding the Fourth Proportional to 10,981.57, 16,455.11 and 8,488.87

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Solution

The fourth proportional to 10,981.57, 16,455.11 and 8,488.87 is: 12,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.57 : 16,455.11 = 8,488.87 : x
  2. Step 2: Convert to fraction form
    10,981.57/16,455.11 = 8,488.87/x
  3. Step 3: Cross multiply
    10,981.57x = 16,455.11 × 8,488.87
  4. Step 4: Simplify right side
    10,981.57x = 139,685,237.88
  5. Step 5: Solve for x
    x = 139,685,237.88/10,981.57
  6. Step 6: Final answer
    x = 12,719.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.