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Finding the Fourth Proportional to 3,605.78, 5,408.71 and 1,525.52

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Solution

The fourth proportional to 3,605.78, 5,408.71 and 1,525.52 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.78 : 5,408.71 = 1,525.52 : x
  2. Step 2: Convert to fraction form
    3,605.78/5,408.71 = 1,525.52/x
  3. Step 3: Cross multiply
    3,605.78x = 5,408.71 × 1,525.52
  4. Step 4: Simplify right side
    3,605.78x = 8,251,074.56
  5. Step 5: Solve for x
    x = 8,251,074.56/3,605.78
  6. Step 6: Final answer
    x = 2,288.29

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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.