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Finding the Fourth Proportional to 8,666.64, 12,967.20 and 6,467.76

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Solution

The fourth proportional to 8,666.64, 12,967.20 and 6,467.76 is: 9,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.64 : 12,967.20 = 6,467.76 : x
  2. Step 2: Convert to fraction form
    8,666.64/12,967.20 = 6,467.76/x
  3. Step 3: Cross multiply
    8,666.64x = 12,967.20 × 6,467.76
  4. Step 4: Simplify right side
    8,666.64x = 83,868,737.47
  5. Step 5: Solve for x
    x = 83,868,737.47/8,666.64
  6. Step 6: Final answer
    x = 9,677.19

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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.