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Finding the Fourth Proportional to 14,168.80, 19,551.20 and 7,880

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Solution

The fourth proportional to 14,168.80, 19,551.20 and 7,880 is: 10,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168.80 : 19,551.20 = 7,880 : x
  2. Step 2: Convert to fraction form
    14,168.80/19,551.20 = 7,880/x
  3. Step 3: Cross multiply
    14,168.80x = 19,551.20 × 7,880
  4. Step 4: Simplify right side
    14,168.80x = 154,063,456
  5. Step 5: Solve for x
    x = 154,063,456/14,168.80
  6. Step 6: Final answer
    x = 10,873.43

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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.