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Finding the Fourth Proportional to 8,640.83, 12,966.29 and 3,642.90

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Solution

The fourth proportional to 8,640.83, 12,966.29 and 3,642.90 is: 5,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.83 : 12,966.29 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    8,640.83/12,966.29 = 3,642.90/x
  3. Step 3: Cross multiply
    8,640.83x = 12,966.29 × 3,642.90
  4. Step 4: Simplify right side
    8,640.83x = 47,234,917.60
  5. Step 5: Solve for x
    x = 47,234,917.60/8,640.83
  6. Step 6: Final answer
    x = 5,466.48

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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.