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Finding the Fourth Proportional to 11,699.66, 16,143.09 and 7,449.19

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Solution

The fourth proportional to 11,699.66, 16,143.09 and 7,449.19 is: 10,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.66 : 16,143.09 = 7,449.19 : x
  2. Step 2: Convert to fraction form
    11,699.66/16,143.09 = 7,449.19/x
  3. Step 3: Cross multiply
    11,699.66x = 16,143.09 × 7,449.19
  4. Step 4: Simplify right side
    11,699.66x = 120,252,944.60
  5. Step 5: Solve for x
    x = 120,252,944.60/11,699.66
  6. Step 6: Final answer
    x = 10,278.33

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Half scale
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Double scale
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1.5x scale

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.