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Finding the Fourth Proportional to 2,167.80, 2,990.97 and 1,381.20

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Solution

The fourth proportional to 2,167.80, 2,990.97 and 1,381.20 is: 1,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.80 : 2,990.97 = 1,381.20 : x
  2. Step 2: Convert to fraction form
    2,167.80/2,990.97 = 1,381.20/x
  3. Step 3: Cross multiply
    2,167.80x = 2,990.97 × 1,381.20
  4. Step 4: Simplify right side
    2,167.80x = 4,131,127.76
  5. Step 5: Solve for x
    x = 4,131,127.76/2,167.80
  6. Step 6: Final answer
    x = 1,905.68

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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.