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Finding the Fourth Proportional to 7,151.34, 10,731.22 and 2,991.02

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Solution

The fourth proportional to 7,151.34, 10,731.22 and 2,991.02 is: 4,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.34 : 10,731.22 = 2,991.02 : x
  2. Step 2: Convert to fraction form
    7,151.34/10,731.22 = 2,991.02/x
  3. Step 3: Cross multiply
    7,151.34x = 10,731.22 × 2,991.02
  4. Step 4: Simplify right side
    7,151.34x = 32,097,293.64
  5. Step 5: Solve for x
    x = 32,097,293.64/7,151.34
  6. Step 6: Final answer
    x = 4,488.29

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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.