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Finding the Fourth Proportional to 8,643, 12,892.65 and 8,500.31

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Solution

The fourth proportional to 8,643, 12,892.65 and 8,500.31 is: 12,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 12,892.65 = 8,500.31 : x
  2. Step 2: Convert to fraction form
    8,643/12,892.65 = 8,500.31/x
  3. Step 3: Cross multiply
    8,643x = 12,892.65 × 8,500.31
  4. Step 4: Simplify right side
    8,643x = 109,591,521.72
  5. Step 5: Solve for x
    x = 109,591,521.72/8,643
  6. Step 6: Final answer
    x = 12,679.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.