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Finding the Fourth Proportional to 2,982.61, 4,473.92 and 1,338.72

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Solution

The fourth proportional to 2,982.61, 4,473.92 and 1,338.72 is: 2,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.61 : 4,473.92 = 1,338.72 : x
  2. Step 2: Convert to fraction form
    2,982.61/4,473.92 = 1,338.72/x
  3. Step 3: Cross multiply
    2,982.61x = 4,473.92 × 1,338.72
  4. Step 4: Simplify right side
    2,982.61x = 5,989,326.18
  5. Step 5: Solve for x
    x = 5,989,326.18/2,982.61
  6. Step 6: Final answer
    x = 2,008.08

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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.