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Finding the Fourth Proportional to 8,277.69, 12,409.20 and 3,079.92

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Solution

The fourth proportional to 8,277.69, 12,409.20 and 3,079.92 is: 4,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.69 : 12,409.20 = 3,079.92 : x
  2. Step 2: Convert to fraction form
    8,277.69/12,409.20 = 3,079.92/x
  3. Step 3: Cross multiply
    8,277.69x = 12,409.20 × 3,079.92
  4. Step 4: Simplify right side
    8,277.69x = 38,219,343.26
  5. Step 5: Solve for x
    x = 38,219,343.26/8,277.69
  6. Step 6: Final answer
    x = 4,617.15

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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.