Home / 1,540.83-2,311.80-924.96

Finding the Fourth Proportional to 1,540.83, 2,311.80 and 924.96

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Solution

The fourth proportional to 1,540.83, 2,311.80 and 924.96 is: 1,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.83 : 2,311.80 = 924.96 : x
  2. Step 2: Convert to fraction form
    1,540.83/2,311.80 = 924.96/x
  3. Step 3: Cross multiply
    1,540.83x = 2,311.80 × 924.96
  4. Step 4: Simplify right side
    1,540.83x = 2,138,322.53
  5. Step 5: Solve for x
    x = 2,138,322.53/1,540.83
  6. Step 6: Final answer
    x = 1,387.77

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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.