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Finding the Fourth Proportional to 31,854.90, 43,965.86 and 21,099.90

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Solution

The fourth proportional to 31,854.90, 43,965.86 and 21,099.90 is: 29,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.90 : 43,965.86 = 21,099.90 : x
  2. Step 2: Convert to fraction form
    31,854.90/43,965.86 = 21,099.90/x
  3. Step 3: Cross multiply
    31,854.90x = 43,965.86 × 21,099.90
  4. Step 4: Simplify right side
    31,854.90x = 927,675,143.91
  5. Step 5: Solve for x
    x = 927,675,143.91/31,854.90
  6. Step 6: Final answer
    x = 29,121.90

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1.5x scale

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.