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Finding the Fourth Proportional to 13,792, 19,033.94 and 7,824.18

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Solution

The fourth proportional to 13,792, 19,033.94 and 7,824.18 is: 10,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792 : 19,033.94 = 7,824.18 : x
  2. Step 2: Convert to fraction form
    13,792/19,033.94 = 7,824.18/x
  3. Step 3: Cross multiply
    13,792x = 19,033.94 × 7,824.18
  4. Step 4: Simplify right side
    13,792x = 148,924,972.67
  5. Step 5: Solve for x
    x = 148,924,972.67/13,792
  6. Step 6: Final answer
    x = 10,797.92

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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.