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Finding the Fourth Proportional to 31,881, 43,994.88 and 17,734.32

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Solution

The fourth proportional to 31,881, 43,994.88 and 17,734.32 is: 24,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881 : 43,994.88 = 17,734.32 : x
  2. Step 2: Convert to fraction form
    31,881/43,994.88 = 17,734.32/x
  3. Step 3: Cross multiply
    31,881x = 43,994.88 × 17,734.32
  4. Step 4: Simplify right side
    31,881x = 780,219,280.28
  5. Step 5: Solve for x
    x = 780,219,280.28/31,881
  6. Step 6: Final answer
    x = 24,472.86

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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.