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Finding the Fourth Proportional to 12,734.61, 17,575.85 and 7,071.17

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Solution

The fourth proportional to 12,734.61, 17,575.85 and 7,071.17 is: 9,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.61 : 17,575.85 = 7,071.17 : x
  2. Step 2: Convert to fraction form
    12,734.61/17,575.85 = 7,071.17/x
  3. Step 3: Cross multiply
    12,734.61x = 17,575.85 × 7,071.17
  4. Step 4: Simplify right side
    12,734.61x = 124,281,753.04
  5. Step 5: Solve for x
    x = 124,281,753.04/12,734.61
  6. Step 6: Final answer
    x = 9,759.37

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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.