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Finding the Fourth Proportional to 2,728.29, 4,092.40 and 753.94

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Solution

The fourth proportional to 2,728.29, 4,092.40 and 753.94 is: 1,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.29 : 4,092.40 = 753.94 : x
  2. Step 2: Convert to fraction form
    2,728.29/4,092.40 = 753.94/x
  3. Step 3: Cross multiply
    2,728.29x = 4,092.40 × 753.94
  4. Step 4: Simplify right side
    2,728.29x = 3,085,424.06
  5. Step 5: Solve for x
    x = 3,085,424.06/2,728.29
  6. Step 6: Final answer
    x = 1,130.90

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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.