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Finding the Fourth Proportional to 7,991.70, 11,031.86 and 5,006.86

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Solution

The fourth proportional to 7,991.70, 11,031.86 and 5,006.86 is: 6,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.70 : 11,031.86 = 5,006.86 : x
  2. Step 2: Convert to fraction form
    7,991.70/11,031.86 = 5,006.86/x
  3. Step 3: Cross multiply
    7,991.70x = 11,031.86 × 5,006.86
  4. Step 4: Simplify right side
    7,991.70x = 55,234,978.56
  5. Step 5: Solve for x
    x = 55,234,978.56/7,991.70
  6. Step 6: Final answer
    x = 6,911.54

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1.5x scale

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.