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Finding the Fourth Proportional to 11,805.66, 17,711.55 and 5,230.28

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Solution

The fourth proportional to 11,805.66, 17,711.55 and 5,230.28 is: 7,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.66 : 17,711.55 = 5,230.28 : x
  2. Step 2: Convert to fraction form
    11,805.66/17,711.55 = 5,230.28/x
  3. Step 3: Cross multiply
    11,805.66x = 17,711.55 × 5,230.28
  4. Step 4: Simplify right side
    11,805.66x = 92,636,410.01
  5. Step 5: Solve for x
    x = 92,636,410.01/11,805.66
  6. Step 6: Final answer
    x = 7,846.78

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1.5x scale

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.