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Finding the Fourth Proportional to 41,442.84, 57,174 and 28,874.88

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Solution

The fourth proportional to 41,442.84, 57,174 and 28,874.88 is: 39,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,442.84 : 57,174 = 28,874.88 : x
  2. Step 2: Convert to fraction form
    41,442.84/57,174 = 28,874.88/x
  3. Step 3: Cross multiply
    41,442.84x = 57,174 × 28,874.88
  4. Step 4: Simplify right side
    41,442.84x = 1,650,892,389.12
  5. Step 5: Solve for x
    x = 1,650,892,389.12/41,442.84
  6. Step 6: Final answer
    x = 39,835.41

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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.