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Finding the Fourth Proportional to 7,792, 11,688 and 2,320

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Solution

The fourth proportional to 7,792, 11,688 and 2,320 is: 3,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792 : 11,688 = 2,320 : x
  2. Step 2: Convert to fraction form
    7,792/11,688 = 2,320/x
  3. Step 3: Cross multiply
    7,792x = 11,688 × 2,320
  4. Step 4: Simplify right side
    7,792x = 27,116,160
  5. Step 5: Solve for x
    x = 27,116,160/7,792
  6. Step 6: Final answer
    x = 3,480

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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.