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Finding the Fourth Proportional to 3,184, 4,390.36 and 2,063.46

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Solution

The fourth proportional to 3,184, 4,390.36 and 2,063.46 is: 2,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,390.36 = 2,063.46 : x
  2. Step 2: Convert to fraction form
    3,184/4,390.36 = 2,063.46/x
  3. Step 3: Cross multiply
    3,184x = 4,390.36 × 2,063.46
  4. Step 4: Simplify right side
    3,184x = 9,059,332.25
  5. Step 5: Solve for x
    x = 9,059,332.25/3,184
  6. Step 6: Final answer
    x = 2,845.27

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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.