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Finding the Fourth Proportional to 31,029.92, 42,822.24 and 16,881.92

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Solution

The fourth proportional to 31,029.92, 42,822.24 and 16,881.92 is: 23,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.92 : 42,822.24 = 16,881.92 : x
  2. Step 2: Convert to fraction form
    31,029.92/42,822.24 = 16,881.92/x
  3. Step 3: Cross multiply
    31,029.92x = 42,822.24 × 16,881.92
  4. Step 4: Simplify right side
    31,029.92x = 722,921,629.90
  5. Step 5: Solve for x
    x = 722,921,629.90/31,029.92
  6. Step 6: Final answer
    x = 23,297.57

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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.