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Finding the Fourth Proportional to 19,382.16, 29,078.28 and 5,531.16

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Solution

The fourth proportional to 19,382.16, 29,078.28 and 5,531.16 is: 8,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.16 : 29,078.28 = 5,531.16 : x
  2. Step 2: Convert to fraction form
    19,382.16/29,078.28 = 5,531.16/x
  3. Step 3: Cross multiply
    19,382.16x = 29,078.28 × 5,531.16
  4. Step 4: Simplify right side
    19,382.16x = 160,836,619.20
  5. Step 5: Solve for x
    x = 160,836,619.20/19,382.16
  6. Step 6: Final answer
    x = 8,298.18

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Why These Related Problems?

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