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Finding the Fourth Proportional to 5,281.79, 7,921.96 and 1,385.87

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Solution

The fourth proportional to 5,281.79, 7,921.96 and 1,385.87 is: 2,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.79 : 7,921.96 = 1,385.87 : x
  2. Step 2: Convert to fraction form
    5,281.79/7,921.96 = 1,385.87/x
  3. Step 3: Cross multiply
    5,281.79x = 7,921.96 × 1,385.87
  4. Step 4: Simplify right side
    5,281.79x = 10,978,806.71
  5. Step 5: Solve for x
    x = 10,978,806.71/5,281.79
  6. Step 6: Final answer
    x = 2,078.61

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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.