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Finding the Fourth Proportional to 1,752.60, 2,628.87 and 1,443.22

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Solution

The fourth proportional to 1,752.60, 2,628.87 and 1,443.22 is: 2,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.60 : 2,628.87 = 1,443.22 : x
  2. Step 2: Convert to fraction form
    1,752.60/2,628.87 = 1,443.22/x
  3. Step 3: Cross multiply
    1,752.60x = 2,628.87 × 1,443.22
  4. Step 4: Simplify right side
    1,752.60x = 3,794,025.78
  5. Step 5: Solve for x
    x = 3,794,025.78/1,752.60
  6. Step 6: Final answer
    x = 2,164.79

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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.