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Finding the Fourth Proportional to 3,649.92, 5,476.49 and 1,340.88

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Solution

The fourth proportional to 3,649.92, 5,476.49 and 1,340.88 is: 2,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.92 : 5,476.49 = 1,340.88 : x
  2. Step 2: Convert to fraction form
    3,649.92/5,476.49 = 1,340.88/x
  3. Step 3: Cross multiply
    3,649.92x = 5,476.49 × 1,340.88
  4. Step 4: Simplify right side
    3,649.92x = 7,343,315.91
  5. Step 5: Solve for x
    x = 7,343,315.91/3,649.92
  6. Step 6: Final answer
    x = 2,011.91

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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.