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Finding the Fourth Proportional to 3,221.32, 4,803.13 and 3,163

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Solution

The fourth proportional to 3,221.32, 4,803.13 and 3,163 is: 4,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.32 : 4,803.13 = 3,163 : x
  2. Step 2: Convert to fraction form
    3,221.32/4,803.13 = 3,163/x
  3. Step 3: Cross multiply
    3,221.32x = 4,803.13 × 3,163
  4. Step 4: Simplify right side
    3,221.32x = 15,192,300.19
  5. Step 5: Solve for x
    x = 15,192,300.19/3,221.32
  6. Step 6: Final answer
    x = 4,716.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.