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Finding the Fourth Proportional to 2,158.98, 3,239.19 and 772.04

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Solution

The fourth proportional to 2,158.98, 3,239.19 and 772.04 is: 1,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.98 : 3,239.19 = 772.04 : x
  2. Step 2: Convert to fraction form
    2,158.98/3,239.19 = 772.04/x
  3. Step 3: Cross multiply
    2,158.98x = 3,239.19 × 772.04
  4. Step 4: Simplify right side
    2,158.98x = 2,500,768.05
  5. Step 5: Solve for x
    x = 2,500,768.05/2,158.98
  6. Step 6: Final answer
    x = 1,158.31

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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.