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Finding the Fourth Proportional to 2,580.75, 3,871.53 and 849.78

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Solution

The fourth proportional to 2,580.75, 3,871.53 and 849.78 is: 1,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.75 : 3,871.53 = 849.78 : x
  2. Step 2: Convert to fraction form
    2,580.75/3,871.53 = 849.78/x
  3. Step 3: Cross multiply
    2,580.75x = 3,871.53 × 849.78
  4. Step 4: Simplify right side
    2,580.75x = 3,289,948.76
  5. Step 5: Solve for x
    x = 3,289,948.76/2,580.75
  6. Step 6: Final answer
    x = 1,274.80

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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.