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Finding the Fourth Proportional to 8,911.69, 12,299.05 and 5,135

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Solution

The fourth proportional to 8,911.69, 12,299.05 and 5,135 is: 7,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.69 : 12,299.05 = 5,135 : x
  2. Step 2: Convert to fraction form
    8,911.69/12,299.05 = 5,135/x
  3. Step 3: Cross multiply
    8,911.69x = 12,299.05 × 5,135
  4. Step 4: Simplify right side
    8,911.69x = 63,155,621.75
  5. Step 5: Solve for x
    x = 63,155,621.75/8,911.69
  6. Step 6: Final answer
    x = 7,086.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.