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Finding the Fourth Proportional to 1,722.13, 2,581.65 and 844.13

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Solution

The fourth proportional to 1,722.13, 2,581.65 and 844.13 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.13 : 2,581.65 = 844.13 : x
  2. Step 2: Convert to fraction form
    1,722.13/2,581.65 = 844.13/x
  3. Step 3: Cross multiply
    1,722.13x = 2,581.65 × 844.13
  4. Step 4: Simplify right side
    1,722.13x = 2,179,248.21
  5. Step 5: Solve for x
    x = 2,179,248.21/1,722.13
  6. Step 6: Final answer
    x = 1,265.44

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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.