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Finding the Fourth Proportional to 5,387.98, 8,077.08 and 1,924.42

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Solution

The fourth proportional to 5,387.98, 8,077.08 and 1,924.42 is: 2,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.98 : 8,077.08 = 1,924.42 : x
  2. Step 2: Convert to fraction form
    5,387.98/8,077.08 = 1,924.42/x
  3. Step 3: Cross multiply
    5,387.98x = 8,077.08 × 1,924.42
  4. Step 4: Simplify right side
    5,387.98x = 15,543,694.29
  5. Step 5: Solve for x
    x = 15,543,694.29/5,387.98
  6. Step 6: Final answer
    x = 2,884.88

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1.5x scale

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.