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Finding the Fourth Proportional to 11,666, 16,099.08 and 7,476.68

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Solution

The fourth proportional to 11,666, 16,099.08 and 7,476.68 is: 10,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666 : 16,099.08 = 7,476.68 : x
  2. Step 2: Convert to fraction form
    11,666/16,099.08 = 7,476.68/x
  3. Step 3: Cross multiply
    11,666x = 16,099.08 × 7,476.68
  4. Step 4: Simplify right side
    11,666x = 120,367,669.45
  5. Step 5: Solve for x
    x = 120,367,669.45/11,666
  6. Step 6: Final answer
    x = 10,317.82

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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.