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Finding the Fourth Proportional to 8,076, 12,108.06 and 3,077.49

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Solution

The fourth proportional to 8,076, 12,108.06 and 3,077.49 is: 4,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 12,108.06 = 3,077.49 : x
  2. Step 2: Convert to fraction form
    8,076/12,108.06 = 3,077.49/x
  3. Step 3: Cross multiply
    8,076x = 12,108.06 × 3,077.49
  4. Step 4: Simplify right side
    8,076x = 37,262,433.57
  5. Step 5: Solve for x
    x = 37,262,433.57/8,076
  6. Step 6: Final answer
    x = 4,613.97

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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.