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Finding the Fourth Proportional to 2,722.49, 4,083.74 and 991.12

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Solution

The fourth proportional to 2,722.49, 4,083.74 and 991.12 is: 1,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.49 : 4,083.74 = 991.12 : x
  2. Step 2: Convert to fraction form
    2,722.49/4,083.74 = 991.12/x
  3. Step 3: Cross multiply
    2,722.49x = 4,083.74 × 991.12
  4. Step 4: Simplify right side
    2,722.49x = 4,047,468.66
  5. Step 5: Solve for x
    x = 4,047,468.66/2,722.49
  6. Step 6: Final answer
    x = 1,486.68

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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.