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Finding the Fourth Proportional to 3,856.76, 5,322.13 and 2,178.03

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Solution

The fourth proportional to 3,856.76, 5,322.13 and 2,178.03 is: 3,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.76 : 5,322.13 = 2,178.03 : x
  2. Step 2: Convert to fraction form
    3,856.76/5,322.13 = 2,178.03/x
  3. Step 3: Cross multiply
    3,856.76x = 5,322.13 × 2,178.03
  4. Step 4: Simplify right side
    3,856.76x = 11,591,753.36
  5. Step 5: Solve for x
    x = 11,591,753.36/3,856.76
  6. Step 6: Final answer
    x = 3,005.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.