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Finding the Fourth Proportional to 27,957, 38,580.66 and 15,381.48

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Solution

The fourth proportional to 27,957, 38,580.66 and 15,381.48 is: 21,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957 : 38,580.66 = 15,381.48 : x
  2. Step 2: Convert to fraction form
    27,957/38,580.66 = 15,381.48/x
  3. Step 3: Cross multiply
    27,957x = 38,580.66 × 15,381.48
  4. Step 4: Simplify right side
    27,957x = 593,427,650.18
  5. Step 5: Solve for x
    x = 593,427,650.18/27,957
  6. Step 6: Final answer
    x = 21,226.44

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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.