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Finding the Fourth Proportional to 7,921.36, 10,981.48 and 7,500

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Solution

The fourth proportional to 7,921.36, 10,981.48 and 7,500 is: 10,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.36 : 10,981.48 = 7,500 : x
  2. Step 2: Convert to fraction form
    7,921.36/10,981.48 = 7,500/x
  3. Step 3: Cross multiply
    7,921.36x = 10,981.48 × 7,500
  4. Step 4: Simplify right side
    7,921.36x = 82,361,100
  5. Step 5: Solve for x
    x = 82,361,100/7,921.36
  6. Step 6: Final answer
    x = 10,397.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.