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Finding the Fourth Proportional to 2,567.75, 3,851.08 and 812.90

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Solution

The fourth proportional to 2,567.75, 3,851.08 and 812.90 is: 1,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.75 : 3,851.08 = 812.90 : x
  2. Step 2: Convert to fraction form
    2,567.75/3,851.08 = 812.90/x
  3. Step 3: Cross multiply
    2,567.75x = 3,851.08 × 812.90
  4. Step 4: Simplify right side
    2,567.75x = 3,130,550.53
  5. Step 5: Solve for x
    x = 3,130,550.53/2,567.75
  6. Step 6: Final answer
    x = 1,219.18

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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.