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Finding the Fourth Proportional to 2,044.40, 3,049.90 and 1,756.40

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Solution

The fourth proportional to 2,044.40, 3,049.90 and 1,756.40 is: 2,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.40 : 3,049.90 = 1,756.40 : x
  2. Step 2: Convert to fraction form
    2,044.40/3,049.90 = 1,756.40/x
  3. Step 3: Cross multiply
    2,044.40x = 3,049.90 × 1,756.40
  4. Step 4: Simplify right side
    2,044.40x = 5,356,844.36
  5. Step 5: Solve for x
    x = 5,356,844.36/2,044.40
  6. Step 6: Final answer
    x = 2,620.25

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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.