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Finding the Fourth Proportional to 5,278.78, 7,919.52 and 1,581

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Solution

The fourth proportional to 5,278.78, 7,919.52 and 1,581 is: 2,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.78 : 7,919.52 = 1,581 : x
  2. Step 2: Convert to fraction form
    5,278.78/7,919.52 = 1,581/x
  3. Step 3: Cross multiply
    5,278.78x = 7,919.52 × 1,581
  4. Step 4: Simplify right side
    5,278.78x = 12,520,761.12
  5. Step 5: Solve for x
    x = 12,520,761.12/5,278.78
  6. Step 6: Final answer
    x = 2,371.90

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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.