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Finding the Fourth Proportional to 7,321.89, 10,989 and 3,165.06

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Solution

The fourth proportional to 7,321.89, 10,989 and 3,165.06 is: 4,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.89 : 10,989 = 3,165.06 : x
  2. Step 2: Convert to fraction form
    7,321.89/10,989 = 3,165.06/x
  3. Step 3: Cross multiply
    7,321.89x = 10,989 × 3,165.06
  4. Step 4: Simplify right side
    7,321.89x = 34,780,844.34
  5. Step 5: Solve for x
    x = 34,780,844.34/7,321.89
  6. Step 6: Final answer
    x = 4,750.25

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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.