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Finding the Fourth Proportional to 1,246.62, 1,855.28 and 1,242.78

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Solution

The fourth proportional to 1,246.62, 1,855.28 and 1,242.78 is: 1,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.62 : 1,855.28 = 1,242.78 : x
  2. Step 2: Convert to fraction form
    1,246.62/1,855.28 = 1,242.78/x
  3. Step 3: Cross multiply
    1,246.62x = 1,855.28 × 1,242.78
  4. Step 4: Simplify right side
    1,246.62x = 2,305,698.66
  5. Step 5: Solve for x
    x = 2,305,698.66/1,246.62
  6. Step 6: Final answer
    x = 1,849.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.