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Finding the Fourth Proportional to 3,647.69, 5,034.12 and 2,982.68

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Solution

The fourth proportional to 3,647.69, 5,034.12 and 2,982.68 is: 4,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.69 : 5,034.12 = 2,982.68 : x
  2. Step 2: Convert to fraction form
    3,647.69/5,034.12 = 2,982.68/x
  3. Step 3: Cross multiply
    3,647.69x = 5,034.12 × 2,982.68
  4. Step 4: Simplify right side
    3,647.69x = 15,015,169.04
  5. Step 5: Solve for x
    x = 15,015,169.04/3,647.69
  6. Step 6: Final answer
    x = 4,116.35

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1.5x scale

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.