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Finding the Fourth Proportional to 10,382.64, 15,574.08 and 2,591.52

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Solution

The fourth proportional to 10,382.64, 15,574.08 and 2,591.52 is: 3,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.64 : 15,574.08 = 2,591.52 : x
  2. Step 2: Convert to fraction form
    10,382.64/15,574.08 = 2,591.52/x
  3. Step 3: Cross multiply
    10,382.64x = 15,574.08 × 2,591.52
  4. Step 4: Simplify right side
    10,382.64x = 40,360,539.80
  5. Step 5: Solve for x
    x = 40,360,539.80/10,382.64
  6. Step 6: Final answer
    x = 3,887.31

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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.