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Finding the Fourth Proportional to 3,474.16, 5,210.92 and 1,422

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Solution

The fourth proportional to 3,474.16, 5,210.92 and 1,422 is: 2,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.16 : 5,210.92 = 1,422 : x
  2. Step 2: Convert to fraction form
    3,474.16/5,210.92 = 1,422/x
  3. Step 3: Cross multiply
    3,474.16x = 5,210.92 × 1,422
  4. Step 4: Simplify right side
    3,474.16x = 7,409,928.24
  5. Step 5: Solve for x
    x = 7,409,928.24/3,474.16
  6. Step 6: Final answer
    x = 2,132.87

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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.