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Finding the Fourth Proportional to 3,109.95, 4,663.54 and 1,648.77

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Solution

The fourth proportional to 3,109.95, 4,663.54 and 1,648.77 is: 2,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.95 : 4,663.54 = 1,648.77 : x
  2. Step 2: Convert to fraction form
    3,109.95/4,663.54 = 1,648.77/x
  3. Step 3: Cross multiply
    3,109.95x = 4,663.54 × 1,648.77
  4. Step 4: Simplify right side
    3,109.95x = 7,689,104.85
  5. Step 5: Solve for x
    x = 7,689,104.85/3,109.95
  6. Step 6: Final answer
    x = 2,472.42

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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.