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Finding the Fourth Proportional to 6,660.50, 9,191.49 and 3,866

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Solution

The fourth proportional to 6,660.50, 9,191.49 and 3,866 is: 5,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.50 : 9,191.49 = 3,866 : x
  2. Step 2: Convert to fraction form
    6,660.50/9,191.49 = 3,866/x
  3. Step 3: Cross multiply
    6,660.50x = 9,191.49 × 3,866
  4. Step 4: Simplify right side
    6,660.50x = 35,534,300.34
  5. Step 5: Solve for x
    x = 35,534,300.34/6,660.50
  6. Step 6: Final answer
    x = 5,335.08

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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.