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Finding the Fourth Proportional to 5,159.16, 7,738.02 and 1,649.43

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Solution

The fourth proportional to 5,159.16, 7,738.02 and 1,649.43 is: 2,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.16 : 7,738.02 = 1,649.43 : x
  2. Step 2: Convert to fraction form
    5,159.16/7,738.02 = 1,649.43/x
  3. Step 3: Cross multiply
    5,159.16x = 7,738.02 × 1,649.43
  4. Step 4: Simplify right side
    5,159.16x = 12,763,322.33
  5. Step 5: Solve for x
    x = 12,763,322.33/5,159.16
  6. Step 6: Final answer
    x = 2,473.91

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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.