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Finding the Fourth Proportional to 8,119.86, 12,184.38 and 5,007.48

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Solution

The fourth proportional to 8,119.86, 12,184.38 and 5,007.48 is: 7,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.86 : 12,184.38 = 5,007.48 : x
  2. Step 2: Convert to fraction form
    8,119.86/12,184.38 = 5,007.48/x
  3. Step 3: Cross multiply
    8,119.86x = 12,184.38 × 5,007.48
  4. Step 4: Simplify right side
    8,119.86x = 61,013,039.16
  5. Step 5: Solve for x
    x = 61,013,039.16/8,119.86
  6. Step 6: Final answer
    x = 7,514.05

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