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Finding the Fourth Proportional to 3,142.40, 4,712.22 and 950.62

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Solution

The fourth proportional to 3,142.40, 4,712.22 and 950.62 is: 1,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.40 : 4,712.22 = 950.62 : x
  2. Step 2: Convert to fraction form
    3,142.40/4,712.22 = 950.62/x
  3. Step 3: Cross multiply
    3,142.40x = 4,712.22 × 950.62
  4. Step 4: Simplify right side
    3,142.40x = 4,479,530.58
  5. Step 5: Solve for x
    x = 4,479,530.58/3,142.40
  6. Step 6: Final answer
    x = 1,425.51

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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.