Home / 1,540.81-2,310.40-1,155.25

Finding the Fourth Proportional to 1,540.81, 2,310.40 and 1,155.25

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Solution

The fourth proportional to 1,540.81, 2,310.40 and 1,155.25 is: 1,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.81 : 2,310.40 = 1,155.25 : x
  2. Step 2: Convert to fraction form
    1,540.81/2,310.40 = 1,155.25/x
  3. Step 3: Cross multiply
    1,540.81x = 2,310.40 × 1,155.25
  4. Step 4: Simplify right side
    1,540.81x = 2,669,089.60
  5. Step 5: Solve for x
    x = 2,669,089.60/1,540.81
  6. Step 6: Final answer
    x = 1,732.26

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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.