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Finding the Fourth Proportional to 1,728.70, 2,381.79 and 1,542.22

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Solution

The fourth proportional to 1,728.70, 2,381.79 and 1,542.22 is: 2,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.70 : 2,381.79 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    1,728.70/2,381.79 = 1,542.22/x
  3. Step 3: Cross multiply
    1,728.70x = 2,381.79 × 1,542.22
  4. Step 4: Simplify right side
    1,728.70x = 3,673,244.17
  5. Step 5: Solve for x
    x = 3,673,244.17/1,728.70
  6. Step 6: Final answer
    x = 2,124.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.