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Finding the Fourth Proportional to 8,101.50, 11,184.93 and 5,311.86

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Solution

The fourth proportional to 8,101.50, 11,184.93 and 5,311.86 is: 7,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.50 : 11,184.93 = 5,311.86 : x
  2. Step 2: Convert to fraction form
    8,101.50/11,184.93 = 5,311.86/x
  3. Step 3: Cross multiply
    8,101.50x = 11,184.93 × 5,311.86
  4. Step 4: Simplify right side
    8,101.50x = 59,412,782.27
  5. Step 5: Solve for x
    x = 59,412,782.27/8,101.50
  6. Step 6: Final answer
    x = 7,333.55

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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.