Home / 1,524.78-2,284.22-1,003.21

Finding the Fourth Proportional to 1,524.78, 2,284.22 and 1,003.21

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Solution

The fourth proportional to 1,524.78, 2,284.22 and 1,003.21 is: 1,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.78 : 2,284.22 = 1,003.21 : x
  2. Step 2: Convert to fraction form
    1,524.78/2,284.22 = 1,003.21/x
  3. Step 3: Cross multiply
    1,524.78x = 2,284.22 × 1,003.21
  4. Step 4: Simplify right side
    1,524.78x = 2,291,549.14
  5. Step 5: Solve for x
    x = 2,291,549.14/1,524.78
  6. Step 6: Final answer
    x = 1,502.87

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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.