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Finding the Fourth Proportional to 27,792, 41,688 and 8,069.04

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Solution

The fourth proportional to 27,792, 41,688 and 8,069.04 is: 12,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 41,688 = 8,069.04 : x
  2. Step 2: Convert to fraction form
    27,792/41,688 = 8,069.04/x
  3. Step 3: Cross multiply
    27,792x = 41,688 × 8,069.04
  4. Step 4: Simplify right side
    27,792x = 336,382,139.52
  5. Step 5: Solve for x
    x = 336,382,139.52/27,792
  6. Step 6: Final answer
    x = 12,103.56

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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.