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Finding the Fourth Proportional to 2,976, 4,463.52 and 2,107.68

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Solution

The fourth proportional to 2,976, 4,463.52 and 2,107.68 is: 3,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 4,463.52 = 2,107.68 : x
  2. Step 2: Convert to fraction form
    2,976/4,463.52 = 2,107.68/x
  3. Step 3: Cross multiply
    2,976x = 4,463.52 × 2,107.68
  4. Step 4: Simplify right side
    2,976x = 9,407,671.83
  5. Step 5: Solve for x
    x = 9,407,671.83/2,976
  6. Step 6: Final answer
    x = 3,161.18

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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.