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Finding the Fourth Proportional to 1,642.92, 2,462.22 and 1,228.74

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Solution

The fourth proportional to 1,642.92, 2,462.22 and 1,228.74 is: 1,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.92 : 2,462.22 = 1,228.74 : x
  2. Step 2: Convert to fraction form
    1,642.92/2,462.22 = 1,228.74/x
  3. Step 3: Cross multiply
    1,642.92x = 2,462.22 × 1,228.74
  4. Step 4: Simplify right side
    1,642.92x = 3,025,428.20
  5. Step 5: Solve for x
    x = 3,025,428.20/1,642.92
  6. Step 6: Final answer
    x = 1,841.49

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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.