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Finding the Fourth Proportional to 3,109.76, 4,663.26 and 1,648.56

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Solution

The fourth proportional to 3,109.76, 4,663.26 and 1,648.56 is: 2,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.76 : 4,663.26 = 1,648.56 : x
  2. Step 2: Convert to fraction form
    3,109.76/4,663.26 = 1,648.56/x
  3. Step 3: Cross multiply
    3,109.76x = 4,663.26 × 1,648.56
  4. Step 4: Simplify right side
    3,109.76x = 7,687,663.91
  5. Step 5: Solve for x
    x = 7,687,663.91/3,109.76
  6. Step 6: Final answer
    x = 2,472.11

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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.