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Finding the Fourth Proportional to 2,321.89, 3,482.87 and 762.02

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Solution

The fourth proportional to 2,321.89, 3,482.87 and 762.02 is: 1,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.89 : 3,482.87 = 762.02 : x
  2. Step 2: Convert to fraction form
    2,321.89/3,482.87 = 762.02/x
  3. Step 3: Cross multiply
    2,321.89x = 3,482.87 × 762.02
  4. Step 4: Simplify right side
    2,321.89x = 2,653,999.18
  5. Step 5: Solve for x
    x = 2,653,999.18/2,321.89
  6. Step 6: Final answer
    x = 1,143.03

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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.