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Finding the Fourth Proportional to 10,998.87, 15,158.09 and 7,812.31

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Solution

The fourth proportional to 10,998.87, 15,158.09 and 7,812.31 is: 10,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.87 : 15,158.09 = 7,812.31 : x
  2. Step 2: Convert to fraction form
    10,998.87/15,158.09 = 7,812.31/x
  3. Step 3: Cross multiply
    10,998.87x = 15,158.09 × 7,812.31
  4. Step 4: Simplify right side
    10,998.87x = 118,419,698.09
  5. Step 5: Solve for x
    x = 118,419,698.09/10,998.87
  6. Step 6: Final answer
    x = 10,766.53

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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.