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Finding the Fourth Proportional to 2,571.75, 3,856.82 and 928.08

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Solution

The fourth proportional to 2,571.75, 3,856.82 and 928.08 is: 1,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.75 : 3,856.82 = 928.08 : x
  2. Step 2: Convert to fraction form
    2,571.75/3,856.82 = 928.08/x
  3. Step 3: Cross multiply
    2,571.75x = 3,856.82 × 928.08
  4. Step 4: Simplify right side
    2,571.75x = 3,579,437.51
  5. Step 5: Solve for x
    x = 3,579,437.51/2,571.75
  6. Step 6: Final answer
    x = 1,391.83

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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.