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Finding the Fourth Proportional to 19,792, 27,314.88 and 10,960

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Solution

The fourth proportional to 19,792, 27,314.88 and 10,960 is: 15,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792 : 27,314.88 = 10,960 : x
  2. Step 2: Convert to fraction form
    19,792/27,314.88 = 10,960/x
  3. Step 3: Cross multiply
    19,792x = 27,314.88 × 10,960
  4. Step 4: Simplify right side
    19,792x = 299,371,084.80
  5. Step 5: Solve for x
    x = 299,371,084.80/19,792
  6. Step 6: Final answer
    x = 15,125.86

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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.