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Finding the Fourth Proportional to 5,287.80, 7,927.24 and 3,335.70

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Solution

The fourth proportional to 5,287.80, 7,927.24 and 3,335.70 is: 5,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.80 : 7,927.24 = 3,335.70 : x
  2. Step 2: Convert to fraction form
    5,287.80/7,927.24 = 3,335.70/x
  3. Step 3: Cross multiply
    5,287.80x = 7,927.24 × 3,335.70
  4. Step 4: Simplify right side
    5,287.80x = 26,442,894.47
  5. Step 5: Solve for x
    x = 26,442,894.47/5,287.80
  6. Step 6: Final answer
    x = 5,000.74

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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.