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Finding the Fourth Proportional to 27,870.96, 41,810.36 and 8,151

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Solution

The fourth proportional to 27,870.96, 41,810.36 and 8,151 is: 12,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.96 : 41,810.36 = 8,151 : x
  2. Step 2: Convert to fraction form
    27,870.96/41,810.36 = 8,151/x
  3. Step 3: Cross multiply
    27,870.96x = 41,810.36 × 8,151
  4. Step 4: Simplify right side
    27,870.96x = 340,796,244.36
  5. Step 5: Solve for x
    x = 340,796,244.36/27,870.96
  6. Step 6: Final answer
    x = 12,227.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.