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Finding the Fourth Proportional to 27,780.69, 38,338.27 and 15,205.44

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Solution

The fourth proportional to 27,780.69, 38,338.27 and 15,205.44 is: 20,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.69 : 38,338.27 = 15,205.44 : x
  2. Step 2: Convert to fraction form
    27,780.69/38,338.27 = 15,205.44/x
  3. Step 3: Cross multiply
    27,780.69x = 38,338.27 × 15,205.44
  4. Step 4: Simplify right side
    27,780.69x = 582,950,264.19
  5. Step 5: Solve for x
    x = 582,950,264.19/27,780.69
  6. Step 6: Final answer
    x = 20,984.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.