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Finding the Fourth Proportional to 10,998.54, 15,157.61 and 7,811.97

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Solution

The fourth proportional to 10,998.54, 15,157.61 and 7,811.97 is: 10,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.54 : 15,157.61 = 7,811.97 : x
  2. Step 2: Convert to fraction form
    10,998.54/15,157.61 = 7,811.97/x
  3. Step 3: Cross multiply
    10,998.54x = 15,157.61 × 7,811.97
  4. Step 4: Simplify right side
    10,998.54x = 118,410,718.80
  5. Step 5: Solve for x
    x = 118,410,718.80/10,998.54
  6. Step 6: Final answer
    x = 10,766.04

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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.