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Finding the Fourth Proportional to 6,866.35, 10,287.76 and 3,748.54

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Solution

The fourth proportional to 6,866.35, 10,287.76 and 3,748.54 is: 5,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.35 : 10,287.76 = 3,748.54 : x
  2. Step 2: Convert to fraction form
    6,866.35/10,287.76 = 3,748.54/x
  3. Step 3: Cross multiply
    6,866.35x = 10,287.76 × 3,748.54
  4. Step 4: Simplify right side
    6,866.35x = 38,564,079.87
  5. Step 5: Solve for x
    x = 38,564,079.87/6,866.35
  6. Step 6: Final answer
    x = 5,616.39

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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.