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Finding the Fourth Proportional to 14,504, 20,015.76 and 7,880

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Solution

The fourth proportional to 14,504, 20,015.76 and 7,880 is: 10,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504 : 20,015.76 = 7,880 : x
  2. Step 2: Convert to fraction form
    14,504/20,015.76 = 7,880/x
  3. Step 3: Cross multiply
    14,504x = 20,015.76 × 7,880
  4. Step 4: Simplify right side
    14,504x = 157,724,188.80
  5. Step 5: Solve for x
    x = 157,724,188.80/14,504
  6. Step 6: Final answer
    x = 10,874.53

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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.