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Finding the Fourth Proportional to 2,571.76, 3,857.64 and 840.52

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Solution

The fourth proportional to 2,571.76, 3,857.64 and 840.52 is: 1,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.76 : 3,857.64 = 840.52 : x
  2. Step 2: Convert to fraction form
    2,571.76/3,857.64 = 840.52/x
  3. Step 3: Cross multiply
    2,571.76x = 3,857.64 × 840.52
  4. Step 4: Simplify right side
    2,571.76x = 3,242,423.57
  5. Step 5: Solve for x
    x = 3,242,423.57/2,571.76
  6. Step 6: Final answer
    x = 1,260.78

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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.