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Finding the Fourth Proportional to 6,663.48, 9,984.28 and 2,278.54

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Solution

The fourth proportional to 6,663.48, 9,984.28 and 2,278.54 is: 3,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.48 : 9,984.28 = 2,278.54 : x
  2. Step 2: Convert to fraction form
    6,663.48/9,984.28 = 2,278.54/x
  3. Step 3: Cross multiply
    6,663.48x = 9,984.28 × 2,278.54
  4. Step 4: Simplify right side
    6,663.48x = 22,749,581.35
  5. Step 5: Solve for x
    x = 22,749,581.35/6,663.48
  6. Step 6: Final answer
    x = 3,414.07

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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.