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Finding the Fourth Proportional to 8,125, 12,187.93 and 2,578.78

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Solution

The fourth proportional to 8,125, 12,187.93 and 2,578.78 is: 3,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125 : 12,187.93 = 2,578.78 : x
  2. Step 2: Convert to fraction form
    8,125/12,187.93 = 2,578.78/x
  3. Step 3: Cross multiply
    8,125x = 12,187.93 × 2,578.78
  4. Step 4: Simplify right side
    8,125x = 31,429,990.13
  5. Step 5: Solve for x
    x = 31,429,990.13/8,125
  6. Step 6: Final answer
    x = 3,868.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.