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Finding the Fourth Proportional to 9,288.52, 13,932.92 and 3,049.18

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Solution

The fourth proportional to 9,288.52, 13,932.92 and 3,049.18 is: 4,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.52 : 13,932.92 = 3,049.18 : x
  2. Step 2: Convert to fraction form
    9,288.52/13,932.92 = 3,049.18/x
  3. Step 3: Cross multiply
    9,288.52x = 13,932.92 × 3,049.18
  4. Step 4: Simplify right side
    9,288.52x = 42,483,981.01
  5. Step 5: Solve for x
    x = 42,483,981.01/9,288.52
  6. Step 6: Final answer
    x = 4,573.82

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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.