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Finding the Fourth Proportional to 3,291.45, 4,933.07 and 1,648.47

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Solution

The fourth proportional to 3,291.45, 4,933.07 and 1,648.47 is: 2,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.45 : 4,933.07 = 1,648.47 : x
  2. Step 2: Convert to fraction form
    3,291.45/4,933.07 = 1,648.47/x
  3. Step 3: Cross multiply
    3,291.45x = 4,933.07 × 1,648.47
  4. Step 4: Simplify right side
    3,291.45x = 8,132,017.90
  5. Step 5: Solve for x
    x = 8,132,017.90/3,291.45
  6. Step 6: Final answer
    x = 2,470.65

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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.