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Finding the Fourth Proportional to 3,909.44, 5,864.16 and 1,856.96

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Solution

The fourth proportional to 3,909.44, 5,864.16 and 1,856.96 is: 2,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.44 : 5,864.16 = 1,856.96 : x
  2. Step 2: Convert to fraction form
    3,909.44/5,864.16 = 1,856.96/x
  3. Step 3: Cross multiply
    3,909.44x = 5,864.16 × 1,856.96
  4. Step 4: Simplify right side
    3,909.44x = 10,889,510.55
  5. Step 5: Solve for x
    x = 10,889,510.55/3,909.44
  6. Step 6: Final answer
    x = 2,785.44

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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.