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Finding the Fourth Proportional to 9,343.36, 13,992.96 and 5,177.28

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Solution

The fourth proportional to 9,343.36, 13,992.96 and 5,177.28 is: 7,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.36 : 13,992.96 = 5,177.28 : x
  2. Step 2: Convert to fraction form
    9,343.36/13,992.96 = 5,177.28/x
  3. Step 3: Cross multiply
    9,343.36x = 13,992.96 × 5,177.28
  4. Step 4: Simplify right side
    9,343.36x = 72,445,471.95
  5. Step 5: Solve for x
    x = 72,445,471.95/9,343.36
  6. Step 6: Final answer
    x = 7,753.69

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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.