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Finding the Fourth Proportional to 8,440.50, 11,650.32 and 5,646

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Solution

The fourth proportional to 8,440.50, 11,650.32 and 5,646 is: 7,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.50 : 11,650.32 = 5,646 : x
  2. Step 2: Convert to fraction form
    8,440.50/11,650.32 = 5,646/x
  3. Step 3: Cross multiply
    8,440.50x = 11,650.32 × 5,646
  4. Step 4: Simplify right side
    8,440.50x = 65,777,706.72
  5. Step 5: Solve for x
    x = 65,777,706.72/8,440.50
  6. Step 6: Final answer
    x = 7,793.11

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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.