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Finding the Fourth Proportional to 5,159.64, 7,738.78 and 1,462.20

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Solution

The fourth proportional to 5,159.64, 7,738.78 and 1,462.20 is: 2,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.64 : 7,738.78 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    5,159.64/7,738.78 = 1,462.20/x
  3. Step 3: Cross multiply
    5,159.64x = 7,738.78 × 1,462.20
  4. Step 4: Simplify right side
    5,159.64x = 11,315,644.12
  5. Step 5: Solve for x
    x = 11,315,644.12/5,159.64
  6. Step 6: Final answer
    x = 2,193.11

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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.