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Finding the Fourth Proportional to 27,774, 38,328.12 and 15,198.76

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Solution

The fourth proportional to 27,774, 38,328.12 and 15,198.76 is: 20,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 38,328.12 = 15,198.76 : x
  2. Step 2: Convert to fraction form
    27,774/38,328.12 = 15,198.76/x
  3. Step 3: Cross multiply
    27,774x = 38,328.12 × 15,198.76
  4. Step 4: Simplify right side
    27,774x = 582,539,897.13
  5. Step 5: Solve for x
    x = 582,539,897.13/27,774
  6. Step 6: Final answer
    x = 20,974.29

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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.