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Finding the Fourth Proportional to 4,649.67, 6,974.52 and 1,139.69

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Solution

The fourth proportional to 4,649.67, 6,974.52 and 1,139.69 is: 1,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.67 : 6,974.52 = 1,139.69 : x
  2. Step 2: Convert to fraction form
    4,649.67/6,974.52 = 1,139.69/x
  3. Step 3: Cross multiply
    4,649.67x = 6,974.52 × 1,139.69
  4. Step 4: Simplify right side
    4,649.67x = 7,948,803.86
  5. Step 5: Solve for x
    x = 7,948,803.86/4,649.67
  6. Step 6: Final answer
    x = 1,709.54

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Similar ratio
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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.