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Finding the Fourth Proportional to 3,291.43, 4,931.70 and 1,990.21

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Solution

The fourth proportional to 3,291.43, 4,931.70 and 1,990.21 is: 2,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.43 : 4,931.70 = 1,990.21 : x
  2. Step 2: Convert to fraction form
    3,291.43/4,931.70 = 1,990.21/x
  3. Step 3: Cross multiply
    3,291.43x = 4,931.70 × 1,990.21
  4. Step 4: Simplify right side
    3,291.43x = 9,815,118.66
  5. Step 5: Solve for x
    x = 9,815,118.66/3,291.43
  6. Step 6: Final answer
    x = 2,982.02

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1.5x scale

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.