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Finding the Fourth Proportional to 9,314.72, 12,854.48 and 5,122.96

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Solution

The fourth proportional to 9,314.72, 12,854.48 and 5,122.96 is: 7,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.72 : 12,854.48 = 5,122.96 : x
  2. Step 2: Convert to fraction form
    9,314.72/12,854.48 = 5,122.96/x
  3. Step 3: Cross multiply
    9,314.72x = 12,854.48 × 5,122.96
  4. Step 4: Simplify right side
    9,314.72x = 65,852,986.86
  5. Step 5: Solve for x
    x = 65,852,986.86/9,314.72
  6. Step 6: Final answer
    x = 7,069.78

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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.