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Finding the Fourth Proportional to 6,663, 9,195.75 and 3,868.50

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Solution

The fourth proportional to 6,663, 9,195.75 and 3,868.50 is: 5,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 9,195.75 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    6,663/9,195.75 = 3,868.50/x
  3. Step 3: Cross multiply
    6,663x = 9,195.75 × 3,868.50
  4. Step 4: Simplify right side
    6,663x = 35,573,758.88
  5. Step 5: Solve for x
    x = 35,573,758.88/6,663
  6. Step 6: Final answer
    x = 5,339.00

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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.