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Finding the Fourth Proportional to 2,567.63, 3,851.43 and 812.80

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Solution

The fourth proportional to 2,567.63, 3,851.43 and 812.80 is: 1,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.63 : 3,851.43 = 812.80 : x
  2. Step 2: Convert to fraction form
    2,567.63/3,851.43 = 812.80/x
  3. Step 3: Cross multiply
    2,567.63x = 3,851.43 × 812.80
  4. Step 4: Simplify right side
    2,567.63x = 3,130,438.24
  5. Step 5: Solve for x
    x = 3,130,438.24/2,567.63
  6. Step 6: Final answer
    x = 1,219.20

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1.5x scale

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.