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Finding the Fourth Proportional to 15,277, 21,081.80 and 8,905

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Solution

The fourth proportional to 15,277, 21,081.80 and 8,905 is: 12,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277 : 21,081.80 = 8,905 : x
  2. Step 2: Convert to fraction form
    15,277/21,081.80 = 8,905/x
  3. Step 3: Cross multiply
    15,277x = 21,081.80 × 8,905
  4. Step 4: Simplify right side
    15,277x = 187,733,429
  5. Step 5: Solve for x
    x = 187,733,429/15,277
  6. Step 6: Final answer
    x = 12,288.63

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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.