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Finding the Fourth Proportional to 13,680.64, 18,880 and 7,792.64

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Solution

The fourth proportional to 13,680.64, 18,880 and 7,792.64 is: 10,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.64 : 18,880 = 7,792.64 : x
  2. Step 2: Convert to fraction form
    13,680.64/18,880 = 7,792.64/x
  3. Step 3: Cross multiply
    13,680.64x = 18,880 × 7,792.64
  4. Step 4: Simplify right side
    13,680.64x = 147,125,043.20
  5. Step 5: Solve for x
    x = 147,125,043.20/13,680.64
  6. Step 6: Final answer
    x = 10,754.25

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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.