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Finding the Fourth Proportional to 31,752, 43,818.84 and 20,593.44

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Solution

The fourth proportional to 31,752, 43,818.84 and 20,593.44 is: 28,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752 : 43,818.84 = 20,593.44 : x
  2. Step 2: Convert to fraction form
    31,752/43,818.84 = 20,593.44/x
  3. Step 3: Cross multiply
    31,752x = 43,818.84 × 20,593.44
  4. Step 4: Simplify right side
    31,752x = 902,380,652.41
  5. Step 5: Solve for x
    x = 902,380,652.41/31,752
  6. Step 6: Final answer
    x = 28,419.65

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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.