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Finding the Fourth Proportional to 8,124.86, 12,189.11 and 2,578.38

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Solution

The fourth proportional to 8,124.86, 12,189.11 and 2,578.38 is: 3,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.86 : 12,189.11 = 2,578.38 : x
  2. Step 2: Convert to fraction form
    8,124.86/12,189.11 = 2,578.38/x
  3. Step 3: Cross multiply
    8,124.86x = 12,189.11 × 2,578.38
  4. Step 4: Simplify right side
    8,124.86x = 31,428,174.66
  5. Step 5: Solve for x
    x = 31,428,174.66/8,124.86
  6. Step 6: Final answer
    x = 3,868.15

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1.5x scale

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.