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Finding the Fourth Proportional to 5,681.38, 8,524.12 and 1,984.16

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Solution

The fourth proportional to 5,681.38, 8,524.12 and 1,984.16 is: 2,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.38 : 8,524.12 = 1,984.16 : x
  2. Step 2: Convert to fraction form
    5,681.38/8,524.12 = 1,984.16/x
  3. Step 3: Cross multiply
    5,681.38x = 8,524.12 × 1,984.16
  4. Step 4: Simplify right side
    5,681.38x = 16,913,175.32
  5. Step 5: Solve for x
    x = 16,913,175.32/5,681.38
  6. Step 6: Final answer
    x = 2,976.95

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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.