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Finding the Fourth Proportional to 5,159.97, 7,739.89 and 1,264.41

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Solution

The fourth proportional to 5,159.97, 7,739.89 and 1,264.41 is: 1,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.97 : 7,739.89 = 1,264.41 : x
  2. Step 2: Convert to fraction form
    5,159.97/7,739.89 = 1,264.41/x
  3. Step 3: Cross multiply
    5,159.97x = 7,739.89 × 1,264.41
  4. Step 4: Simplify right side
    5,159.97x = 9,786,391.15
  5. Step 5: Solve for x
    x = 9,786,391.15/5,159.97
  6. Step 6: Final answer
    x = 1,896.60

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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.