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Finding the Fourth Proportional to 41,878.96, 57,777 and 31,003

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Solution

The fourth proportional to 41,878.96, 57,777 and 31,003 is: 42,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.96 : 57,777 = 31,003 : x
  2. Step 2: Convert to fraction form
    41,878.96/57,777 = 31,003/x
  3. Step 3: Cross multiply
    41,878.96x = 57,777 × 31,003
  4. Step 4: Simplify right side
    41,878.96x = 1,791,260,331
  5. Step 5: Solve for x
    x = 1,791,260,331/41,878.96
  6. Step 6: Final answer
    x = 42,772.32

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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.