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Finding the Fourth Proportional to 2,982.48, 4,115.88 and 1,740.24

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Solution

The fourth proportional to 2,982.48, 4,115.88 and 1,740.24 is: 2,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.48 : 4,115.88 = 1,740.24 : x
  2. Step 2: Convert to fraction form
    2,982.48/4,115.88 = 1,740.24/x
  3. Step 3: Cross multiply
    2,982.48x = 4,115.88 × 1,740.24
  4. Step 4: Simplify right side
    2,982.48x = 7,162,619.01
  5. Step 5: Solve for x
    x = 7,162,619.01/2,982.48
  6. Step 6: Final answer
    x = 2,401.56

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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.