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Finding the Fourth Proportional to 2,571.60, 3,857.40 and 928.20

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Solution

The fourth proportional to 2,571.60, 3,857.40 and 928.20 is: 1,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.60 : 3,857.40 = 928.20 : x
  2. Step 2: Convert to fraction form
    2,571.60/3,857.40 = 928.20/x
  3. Step 3: Cross multiply
    2,571.60x = 3,857.40 × 928.20
  4. Step 4: Simplify right side
    2,571.60x = 3,580,438.68
  5. Step 5: Solve for x
    x = 3,580,438.68/2,571.60
  6. Step 6: Final answer
    x = 1,392.30

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Similar ratio
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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.