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Finding the Fourth Proportional to 3,952.85, 5,928.80 and 1,031.09

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Solution

The fourth proportional to 3,952.85, 5,928.80 and 1,031.09 is: 1,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.85 : 5,928.80 = 1,031.09 : x
  2. Step 2: Convert to fraction form
    3,952.85/5,928.80 = 1,031.09/x
  3. Step 3: Cross multiply
    3,952.85x = 5,928.80 × 1,031.09
  4. Step 4: Simplify right side
    3,952.85x = 6,113,091.59
  5. Step 5: Solve for x
    x = 6,113,091.59/3,952.85
  6. Step 6: Final answer
    x = 1,546.50

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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.