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Finding the Fourth Proportional to 21,065.54, 31,578.78 and 7,926.62

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Solution

The fourth proportional to 21,065.54, 31,578.78 and 7,926.62 is: 11,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.54 : 31,578.78 = 7,926.62 : x
  2. Step 2: Convert to fraction form
    21,065.54/31,578.78 = 7,926.62/x
  3. Step 3: Cross multiply
    21,065.54x = 31,578.78 × 7,926.62
  4. Step 4: Simplify right side
    21,065.54x = 250,312,989.12
  5. Step 5: Solve for x
    x = 250,312,989.12/21,065.54
  6. Step 6: Final answer
    x = 11,882.58

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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.