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Finding the Fourth Proportional to 4,661.69, 6,989.11 and 2,195.12

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Solution

The fourth proportional to 4,661.69, 6,989.11 and 2,195.12 is: 3,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.69 : 6,989.11 = 2,195.12 : x
  2. Step 2: Convert to fraction form
    4,661.69/6,989.11 = 2,195.12/x
  3. Step 3: Cross multiply
    4,661.69x = 6,989.11 × 2,195.12
  4. Step 4: Simplify right side
    4,661.69x = 15,341,947.13
  5. Step 5: Solve for x
    x = 15,341,947.13/4,661.69
  6. Step 6: Final answer
    x = 3,291.07

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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.