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Finding the Fourth Proportional to 12,567.57, 17,342.79 and 6,902.13

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Solution

The fourth proportional to 12,567.57, 17,342.79 and 6,902.13 is: 9,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.57 : 17,342.79 = 6,902.13 : x
  2. Step 2: Convert to fraction form
    12,567.57/17,342.79 = 6,902.13/x
  3. Step 3: Cross multiply
    12,567.57x = 17,342.79 × 6,902.13
  4. Step 4: Simplify right side
    12,567.57x = 119,702,191.14
  5. Step 5: Solve for x
    x = 119,702,191.14/12,567.57
  6. Step 6: Final answer
    x = 9,524.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.