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Finding the Fourth Proportional to 12,531.50, 17,294.01 and 6,942.50

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Solution

The fourth proportional to 12,531.50, 17,294.01 and 6,942.50 is: 9,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.50 : 17,294.01 = 6,942.50 : x
  2. Step 2: Convert to fraction form
    12,531.50/17,294.01 = 6,942.50/x
  3. Step 3: Cross multiply
    12,531.50x = 17,294.01 × 6,942.50
  4. Step 4: Simplify right side
    12,531.50x = 120,063,664.43
  5. Step 5: Solve for x
    x = 120,063,664.43/12,531.50
  6. Step 6: Final answer
    x = 9,580.95

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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.