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Finding the Fourth Proportional to 3,158, 4,732.06 and 1,209.12

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Solution

The fourth proportional to 3,158, 4,732.06 and 1,209.12 is: 1,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158 : 4,732.06 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    3,158/4,732.06 = 1,209.12/x
  3. Step 3: Cross multiply
    3,158x = 4,732.06 × 1,209.12
  4. Step 4: Simplify right side
    3,158x = 5,721,628.39
  5. Step 5: Solve for x
    x = 5,721,628.39/3,158
  6. Step 6: Final answer
    x = 1,811.79

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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.