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Finding the Fourth Proportional to 1,282.95, 1,911.17 and 1,244.22

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Solution

The fourth proportional to 1,282.95, 1,911.17 and 1,244.22 is: 1,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,911.17 = 1,244.22 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,911.17 = 1,244.22/x
  3. Step 3: Cross multiply
    1,282.95x = 1,911.17 × 1,244.22
  4. Step 4: Simplify right side
    1,282.95x = 2,377,909.72
  5. Step 5: Solve for x
    x = 2,377,909.72/1,282.95
  6. Step 6: Final answer
    x = 1,853.47

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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.