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Finding the Fourth Proportional to 9,221.64, 12,726 and 5,029.92

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Solution

The fourth proportional to 9,221.64, 12,726 and 5,029.92 is: 6,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.64 : 12,726 = 5,029.92 : x
  2. Step 2: Convert to fraction form
    9,221.64/12,726 = 5,029.92/x
  3. Step 3: Cross multiply
    9,221.64x = 12,726 × 5,029.92
  4. Step 4: Simplify right side
    9,221.64x = 64,010,761.92
  5. Step 5: Solve for x
    x = 64,010,761.92/9,221.64
  6. Step 6: Final answer
    x = 6,941.36

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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.