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Finding the Fourth Proportional to 7,149.81, 10,720.79 and 2,467.20

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Solution

The fourth proportional to 7,149.81, 10,720.79 and 2,467.20 is: 3,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.81 : 10,720.79 = 2,467.20 : x
  2. Step 2: Convert to fraction form
    7,149.81/10,720.79 = 2,467.20/x
  3. Step 3: Cross multiply
    7,149.81x = 10,720.79 × 2,467.20
  4. Step 4: Simplify right side
    7,149.81x = 26,450,333.09
  5. Step 5: Solve for x
    x = 26,450,333.09/7,149.81
  6. Step 6: Final answer
    x = 3,699.45

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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.