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Finding the Fourth Proportional to 3,853.84, 5,775.72 and 1,542.64

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Solution

The fourth proportional to 3,853.84, 5,775.72 and 1,542.64 is: 2,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.84 : 5,775.72 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    3,853.84/5,775.72 = 1,542.64/x
  3. Step 3: Cross multiply
    3,853.84x = 5,775.72 × 1,542.64
  4. Step 4: Simplify right side
    3,853.84x = 8,909,856.70
  5. Step 5: Solve for x
    x = 8,909,856.70/3,853.84
  6. Step 6: Final answer
    x = 2,311.94

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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.