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Finding the Fourth Proportional to 5,878, 8,112.45 and 3,640.78

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Solution

The fourth proportional to 5,878, 8,112.45 and 3,640.78 is: 5,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 8,112.45 = 3,640.78 : x
  2. Step 2: Convert to fraction form
    5,878/8,112.45 = 3,640.78/x
  3. Step 3: Cross multiply
    5,878x = 8,112.45 × 3,640.78
  4. Step 4: Simplify right side
    5,878x = 29,535,645.71
  5. Step 5: Solve for x
    x = 29,535,645.71/5,878
  6. Step 6: Final answer
    x = 5,024.78

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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.