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Finding the Fourth Proportional to 9,989.87, 13,786.42 and 5,740.86

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Solution

The fourth proportional to 9,989.87, 13,786.42 and 5,740.86 is: 7,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.87 : 13,786.42 = 5,740.86 : x
  2. Step 2: Convert to fraction form
    9,989.87/13,786.42 = 5,740.86/x
  3. Step 3: Cross multiply
    9,989.87x = 13,786.42 × 5,740.86
  4. Step 4: Simplify right side
    9,989.87x = 79,145,877.68
  5. Step 5: Solve for x
    x = 79,145,877.68/9,989.87
  6. Step 6: Final answer
    x = 7,922.62

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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.