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Finding the Fourth Proportional to 7,382.64, 10,177.20 and 5,283.12

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Solution

The fourth proportional to 7,382.64, 10,177.20 and 5,283.12 is: 7,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.64 : 10,177.20 = 5,283.12 : x
  2. Step 2: Convert to fraction form
    7,382.64/10,177.20 = 5,283.12/x
  3. Step 3: Cross multiply
    7,382.64x = 10,177.20 × 5,283.12
  4. Step 4: Simplify right side
    7,382.64x = 53,767,368.86
  5. Step 5: Solve for x
    x = 53,767,368.86/7,382.64
  6. Step 6: Final answer
    x = 7,282.95

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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.