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Finding the Fourth Proportional to 9,691.64, 13,374.06 and 5,712.92

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Solution

The fourth proportional to 9,691.64, 13,374.06 and 5,712.92 is: 7,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.64 : 13,374.06 = 5,712.92 : x
  2. Step 2: Convert to fraction form
    9,691.64/13,374.06 = 5,712.92/x
  3. Step 3: Cross multiply
    9,691.64x = 13,374.06 × 5,712.92
  4. Step 4: Simplify right side
    9,691.64x = 76,404,934.86
  5. Step 5: Solve for x
    x = 76,404,934.86/9,691.64
  6. Step 6: Final answer
    x = 7,883.59

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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.