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Finding the Fourth Proportional to 11,682, 16,122.65 and 7,711.38

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Solution

The fourth proportional to 11,682, 16,122.65 and 7,711.38 is: 10,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 16,122.65 = 7,711.38 : x
  2. Step 2: Convert to fraction form
    11,682/16,122.65 = 7,711.38/x
  3. Step 3: Cross multiply
    11,682x = 16,122.65 × 7,711.38
  4. Step 4: Simplify right side
    11,682x = 124,327,842.20
  5. Step 5: Solve for x
    x = 124,327,842.20/11,682
  6. Step 6: Final answer
    x = 10,642.68

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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.