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Finding the Fourth Proportional to 6,422.40, 9,634.24 and 1,742.49

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Solution

The fourth proportional to 6,422.40, 9,634.24 and 1,742.49 is: 2,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.40 : 9,634.24 = 1,742.49 : x
  2. Step 2: Convert to fraction form
    6,422.40/9,634.24 = 1,742.49/x
  3. Step 3: Cross multiply
    6,422.40x = 9,634.24 × 1,742.49
  4. Step 4: Simplify right side
    6,422.40x = 16,787,518.69
  5. Step 5: Solve for x
    x = 16,787,518.69/6,422.40
  6. Step 6: Final answer
    x = 2,613.90

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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.