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Finding the Fourth Proportional to 10,550.86, 15,811.50 and 8,200.14

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Solution

The fourth proportional to 10,550.86, 15,811.50 and 8,200.14 is: 12,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.86 : 15,811.50 = 8,200.14 : x
  2. Step 2: Convert to fraction form
    10,550.86/15,811.50 = 8,200.14/x
  3. Step 3: Cross multiply
    10,550.86x = 15,811.50 × 8,200.14
  4. Step 4: Simplify right side
    10,550.86x = 129,656,485.07
  5. Step 5: Solve for x
    x = 129,656,485.07/10,550.86
  6. Step 6: Final answer
    x = 12,288.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.