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Finding the Fourth Proportional to 7,299.70, 10,949 and 4,169.86

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Solution

The fourth proportional to 7,299.70, 10,949 and 4,169.86 is: 6,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.70 : 10,949 = 4,169.86 : x
  2. Step 2: Convert to fraction form
    7,299.70/10,949 = 4,169.86/x
  3. Step 3: Cross multiply
    7,299.70x = 10,949 × 4,169.86
  4. Step 4: Simplify right side
    7,299.70x = 45,655,797.14
  5. Step 5: Solve for x
    x = 45,655,797.14/7,299.70
  6. Step 6: Final answer
    x = 6,254.48

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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.