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Finding the Fourth Proportional to 5,159.85, 7,739.77 and 1,264.22

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Solution

The fourth proportional to 5,159.85, 7,739.77 and 1,264.22 is: 1,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.85 : 7,739.77 = 1,264.22 : x
  2. Step 2: Convert to fraction form
    5,159.85/7,739.77 = 1,264.22/x
  3. Step 3: Cross multiply
    5,159.85x = 7,739.77 × 1,264.22
  4. Step 4: Simplify right side
    5,159.85x = 9,784,761.56
  5. Step 5: Solve for x
    x = 9,784,761.56/5,159.85
  6. Step 6: Final answer
    x = 1,896.33

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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.