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Finding the Fourth Proportional to 10,866.10, 16,311.30 and 8,411.80

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Solution

The fourth proportional to 10,866.10, 16,311.30 and 8,411.80 is: 12,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.10 : 16,311.30 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    10,866.10/16,311.30 = 8,411.80/x
  3. Step 3: Cross multiply
    10,866.10x = 16,311.30 × 8,411.80
  4. Step 4: Simplify right side
    10,866.10x = 137,207,393.34
  5. Step 5: Solve for x
    x = 137,207,393.34/10,866.10
  6. Step 6: Final answer
    x = 12,627.11

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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.