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Finding the Fourth Proportional to 8,768.80, 12,091.98 and 6,877

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Solution

The fourth proportional to 8,768.80, 12,091.98 and 6,877 is: 9,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.80 : 12,091.98 = 6,877 : x
  2. Step 2: Convert to fraction form
    8,768.80/12,091.98 = 6,877/x
  3. Step 3: Cross multiply
    8,768.80x = 12,091.98 × 6,877
  4. Step 4: Simplify right side
    8,768.80x = 83,156,546.46
  5. Step 5: Solve for x
    x = 83,156,546.46/8,768.80
  6. Step 6: Final answer
    x = 9,483.23

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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.