Home / 1,901.12-2,851.41-514.57

Finding the Fourth Proportional to 1,901.12, 2,851.41 and 514.57

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Solution

The fourth proportional to 1,901.12, 2,851.41 and 514.57 is: 771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.12 : 2,851.41 = 514.57 : x
  2. Step 2: Convert to fraction form
    1,901.12/2,851.41 = 514.57/x
  3. Step 3: Cross multiply
    1,901.12x = 2,851.41 × 514.57
  4. Step 4: Simplify right side
    1,901.12x = 1,467,250.04
  5. Step 5: Solve for x
    x = 1,467,250.04/1,901.12
  6. Step 6: Final answer
    x = 771.78

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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.