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Finding the Fourth Proportional to 8,076.77, 11,146.98 and 4,540

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Solution

The fourth proportional to 8,076.77, 11,146.98 and 4,540 is: 6,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.77 : 11,146.98 = 4,540 : x
  2. Step 2: Convert to fraction form
    8,076.77/11,146.98 = 4,540/x
  3. Step 3: Cross multiply
    8,076.77x = 11,146.98 × 4,540
  4. Step 4: Simplify right side
    8,076.77x = 50,607,289.20
  5. Step 5: Solve for x
    x = 50,607,289.20/8,076.77
  6. Step 6: Final answer
    x = 6,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.