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Finding the Fourth Proportional to 27,803.52, 38,368.89 and 15,228

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Solution

The fourth proportional to 27,803.52, 38,368.89 and 15,228 is: 21,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.52 : 38,368.89 = 15,228 : x
  2. Step 2: Convert to fraction form
    27,803.52/38,368.89 = 15,228/x
  3. Step 3: Cross multiply
    27,803.52x = 38,368.89 × 15,228
  4. Step 4: Simplify right side
    27,803.52x = 584,281,456.92
  5. Step 5: Solve for x
    x = 584,281,456.92/27,803.52
  6. Step 6: Final answer
    x = 21,014.66

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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.