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Finding the Fourth Proportional to 1,775.57, 2,649.68 and 1,559.61

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Solution

The fourth proportional to 1,775.57, 2,649.68 and 1,559.61 is: 2,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.57 : 2,649.68 = 1,559.61 : x
  2. Step 2: Convert to fraction form
    1,775.57/2,649.68 = 1,559.61/x
  3. Step 3: Cross multiply
    1,775.57x = 2,649.68 × 1,559.61
  4. Step 4: Simplify right side
    1,775.57x = 4,132,461.75
  5. Step 5: Solve for x
    x = 4,132,461.75/1,775.57
  6. Step 6: Final answer
    x = 2,327.39

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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.