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Finding the Fourth Proportional to 2,650.70, 3,974.52 and 1,006.20

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Solution

The fourth proportional to 2,650.70, 3,974.52 and 1,006.20 is: 1,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.70 : 3,974.52 = 1,006.20 : x
  2. Step 2: Convert to fraction form
    2,650.70/3,974.52 = 1,006.20/x
  3. Step 3: Cross multiply
    2,650.70x = 3,974.52 × 1,006.20
  4. Step 4: Simplify right side
    2,650.70x = 3,999,162.02
  5. Step 5: Solve for x
    x = 3,999,162.02/2,650.70
  6. Step 6: Final answer
    x = 1,508.72

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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.