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Finding the Fourth Proportional to 2,422.05, 3,633.60 and 862.14

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Solution

The fourth proportional to 2,422.05, 3,633.60 and 862.14 is: 1,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.05 : 3,633.60 = 862.14 : x
  2. Step 2: Convert to fraction form
    2,422.05/3,633.60 = 862.14/x
  3. Step 3: Cross multiply
    2,422.05x = 3,633.60 × 862.14
  4. Step 4: Simplify right side
    2,422.05x = 3,132,671.90
  5. Step 5: Solve for x
    x = 3,132,671.90/2,422.05
  6. Step 6: Final answer
    x = 1,293.40

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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.