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Finding the Fourth Proportional to 1,722.41, 2,375.43 and 1,488.68

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Solution

The fourth proportional to 1,722.41, 2,375.43 and 1,488.68 is: 2,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.41 : 2,375.43 = 1,488.68 : x
  2. Step 2: Convert to fraction form
    1,722.41/2,375.43 = 1,488.68/x
  3. Step 3: Cross multiply
    1,722.41x = 2,375.43 × 1,488.68
  4. Step 4: Simplify right side
    1,722.41x = 3,536,250.50
  5. Step 5: Solve for x
    x = 3,536,250.50/1,722.41
  6. Step 6: Final answer
    x = 2,053.08

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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.