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Finding the Fourth Proportional to 2,947.92, 4,417.76 and 2,216.64

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Solution

The fourth proportional to 2,947.92, 4,417.76 and 2,216.64 is: 3,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.92 : 4,417.76 = 2,216.64 : x
  2. Step 2: Convert to fraction form
    2,947.92/4,417.76 = 2,216.64/x
  3. Step 3: Cross multiply
    2,947.92x = 4,417.76 × 2,216.64
  4. Step 4: Simplify right side
    2,947.92x = 9,792,572.44
  5. Step 5: Solve for x
    x = 9,792,572.44/2,947.92
  6. Step 6: Final answer
    x = 3,321.86

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1.5x scale

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.