Home / 1,540.10-2,311.60-810.20

Finding the Fourth Proportional to 1,540.10, 2,311.60 and 810.20

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Solution

The fourth proportional to 1,540.10, 2,311.60 and 810.20 is: 1,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.10 : 2,311.60 = 810.20 : x
  2. Step 2: Convert to fraction form
    1,540.10/2,311.60 = 810.20/x
  3. Step 3: Cross multiply
    1,540.10x = 2,311.60 × 810.20
  4. Step 4: Simplify right side
    1,540.10x = 1,872,858.32
  5. Step 5: Solve for x
    x = 1,872,858.32/1,540.10
  6. Step 6: Final answer
    x = 1,216.06

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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.