Home / 1,421.30-2,131.57-900.52

Finding the Fourth Proportional to 1,421.30, 2,131.57 and 900.52

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Solution

The fourth proportional to 1,421.30, 2,131.57 and 900.52 is: 1,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.30 : 2,131.57 = 900.52 : x
  2. Step 2: Convert to fraction form
    1,421.30/2,131.57 = 900.52/x
  3. Step 3: Cross multiply
    1,421.30x = 2,131.57 × 900.52
  4. Step 4: Simplify right side
    1,421.30x = 1,919,512.15
  5. Step 5: Solve for x
    x = 1,919,512.15/1,421.30
  6. Step 6: Final answer
    x = 1,350.54

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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.