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Finding the Fourth Proportional to 13,700.52, 20,550.78 and 7,844.63

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Solution

The fourth proportional to 13,700.52, 20,550.78 and 7,844.63 is: 11,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.52 : 20,550.78 = 7,844.63 : x
  2. Step 2: Convert to fraction form
    13,700.52/20,550.78 = 7,844.63/x
  3. Step 3: Cross multiply
    13,700.52x = 20,550.78 × 7,844.63
  4. Step 4: Simplify right side
    13,700.52x = 161,213,162.56
  5. Step 5: Solve for x
    x = 161,213,162.56/13,700.52
  6. Step 6: Final answer
    x = 11,766.94

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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.