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Finding the Fourth Proportional to 27,054, 37,337.76 and 15,876

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Solution

The fourth proportional to 27,054, 37,337.76 and 15,876 is: 21,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054 : 37,337.76 = 15,876 : x
  2. Step 2: Convert to fraction form
    27,054/37,337.76 = 15,876/x
  3. Step 3: Cross multiply
    27,054x = 37,337.76 × 15,876
  4. Step 4: Simplify right side
    27,054x = 592,774,277.76
  5. Step 5: Solve for x
    x = 592,774,277.76/27,054
  6. Step 6: Final answer
    x = 21,910.78

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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.