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Finding the Fourth Proportional to 8,442.80, 12,656.10 and 6,567.65

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Solution

The fourth proportional to 8,442.80, 12,656.10 and 6,567.65 is: 9,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.80 : 12,656.10 = 6,567.65 : x
  2. Step 2: Convert to fraction form
    8,442.80/12,656.10 = 6,567.65/x
  3. Step 3: Cross multiply
    8,442.80x = 12,656.10 × 6,567.65
  4. Step 4: Simplify right side
    8,442.80x = 83,120,835.17
  5. Step 5: Solve for x
    x = 83,120,835.17/8,442.80
  6. Step 6: Final answer
    x = 9,845.17

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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.