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Finding the Fourth Proportional to 2,914, 4,370.97 and 722.72

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Solution

The fourth proportional to 2,914, 4,370.97 and 722.72 is: 1,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,370.97 = 722.72 : x
  2. Step 2: Convert to fraction form
    2,914/4,370.97 = 722.72/x
  3. Step 3: Cross multiply
    2,914x = 4,370.97 × 722.72
  4. Step 4: Simplify right side
    2,914x = 3,158,987.44
  5. Step 5: Solve for x
    x = 3,158,987.44/2,914
  6. Step 6: Final answer
    x = 1,084.07

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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.