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Finding the Fourth Proportional to 7,134.77, 9,846 and 4,149.81

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Solution

The fourth proportional to 7,134.77, 9,846 and 4,149.81 is: 5,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.77 : 9,846 = 4,149.81 : x
  2. Step 2: Convert to fraction form
    7,134.77/9,846 = 4,149.81/x
  3. Step 3: Cross multiply
    7,134.77x = 9,846 × 4,149.81
  4. Step 4: Simplify right side
    7,134.77x = 40,859,029.26
  5. Step 5: Solve for x
    x = 40,859,029.26/7,134.77
  6. Step 6: Final answer
    x = 5,726.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.