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Finding the Fourth Proportional to 9,272.86, 13,912.84 and 5,577.71

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Solution

The fourth proportional to 9,272.86, 13,912.84 and 5,577.71 is: 8,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.86 : 13,912.84 = 5,577.71 : x
  2. Step 2: Convert to fraction form
    9,272.86/13,912.84 = 5,577.71/x
  3. Step 3: Cross multiply
    9,272.86x = 13,912.84 × 5,577.71
  4. Step 4: Simplify right side
    9,272.86x = 77,601,724.20
  5. Step 5: Solve for x
    x = 77,601,724.20/9,272.86
  6. Step 6: Final answer
    x = 8,368.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.