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Finding the Fourth Proportional to 5,158.71, 7,738.47 and 1,649.22

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Solution

The fourth proportional to 5,158.71, 7,738.47 and 1,649.22 is: 2,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.71 : 7,738.47 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    5,158.71/7,738.47 = 1,649.22/x
  3. Step 3: Cross multiply
    5,158.71x = 7,738.47 × 1,649.22
  4. Step 4: Simplify right side
    5,158.71x = 12,762,439.49
  5. Step 5: Solve for x
    x = 12,762,439.49/5,158.71
  6. Step 6: Final answer
    x = 2,473.96

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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.