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Finding the Fourth Proportional to 2,874.62, 3,968.80 and 1,990.10

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Solution

The fourth proportional to 2,874.62, 3,968.80 and 1,990.10 is: 2,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.62 : 3,968.80 = 1,990.10 : x
  2. Step 2: Convert to fraction form
    2,874.62/3,968.80 = 1,990.10/x
  3. Step 3: Cross multiply
    2,874.62x = 3,968.80 × 1,990.10
  4. Step 4: Simplify right side
    2,874.62x = 7,898,308.88
  5. Step 5: Solve for x
    x = 7,898,308.88/2,874.62
  6. Step 6: Final answer
    x = 2,747.60

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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.