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Finding the Fourth Proportional to 41,446.34, 57,178.83 and 28,878.38

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Solution

The fourth proportional to 41,446.34, 57,178.83 and 28,878.38 is: 39,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,446.34 : 57,178.83 = 28,878.38 : x
  2. Step 2: Convert to fraction form
    41,446.34/57,178.83 = 28,878.38/x
  3. Step 3: Cross multiply
    41,446.34x = 57,178.83 × 28,878.38
  4. Step 4: Simplify right side
    41,446.34x = 1,651,231,980.70
  5. Step 5: Solve for x
    x = 1,651,231,980.70/41,446.34
  6. Step 6: Final answer
    x = 39,840.24

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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.