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Finding the Fourth Proportional to 5,281.35, 7,922.28 and 1,385.76

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Solution

The fourth proportional to 5,281.35, 7,922.28 and 1,385.76 is: 2,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.35 : 7,922.28 = 1,385.76 : x
  2. Step 2: Convert to fraction form
    5,281.35/7,922.28 = 1,385.76/x
  3. Step 3: Cross multiply
    5,281.35x = 7,922.28 × 1,385.76
  4. Step 4: Simplify right side
    5,281.35x = 10,978,378.73
  5. Step 5: Solve for x
    x = 10,978,378.73/5,281.35
  6. Step 6: Final answer
    x = 2,078.71

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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.