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Finding the Fourth Proportional to 5,287.96, 7,930.46 and 1,589.88

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Solution

The fourth proportional to 5,287.96, 7,930.46 and 1,589.88 is: 2,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.96 : 7,930.46 = 1,589.88 : x
  2. Step 2: Convert to fraction form
    5,287.96/7,930.46 = 1,589.88/x
  3. Step 3: Cross multiply
    5,287.96x = 7,930.46 × 1,589.88
  4. Step 4: Simplify right side
    5,287.96x = 12,608,479.74
  5. Step 5: Solve for x
    x = 12,608,479.74/5,287.96
  6. Step 6: Final answer
    x = 2,384.38

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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.