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Finding the Fourth Proportional to 2,547.26, 3,820.40 and 791.95

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Solution

The fourth proportional to 2,547.26, 3,820.40 and 791.95 is: 1,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.26 : 3,820.40 = 791.95 : x
  2. Step 2: Convert to fraction form
    2,547.26/3,820.40 = 791.95/x
  3. Step 3: Cross multiply
    2,547.26x = 3,820.40 × 791.95
  4. Step 4: Simplify right side
    2,547.26x = 3,025,542.72
  5. Step 5: Solve for x
    x = 3,025,542.72/2,547.26
  6. Step 6: Final answer
    x = 1,187.76

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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.