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Finding the Fourth Proportional to 2,982.03, 4,115.01 and 1,655.65

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Solution

The fourth proportional to 2,982.03, 4,115.01 and 1,655.65 is: 2,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.03 : 4,115.01 = 1,655.65 : x
  2. Step 2: Convert to fraction form
    2,982.03/4,115.01 = 1,655.65/x
  3. Step 3: Cross multiply
    2,982.03x = 4,115.01 × 1,655.65
  4. Step 4: Simplify right side
    2,982.03x = 6,813,016.31
  5. Step 5: Solve for x
    x = 6,813,016.31/2,982.03
  6. Step 6: Final answer
    x = 2,284.69

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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.