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Finding the Fourth Proportional to 10,902.04, 15,053.26 and 8,380.16

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Solution

The fourth proportional to 10,902.04, 15,053.26 and 8,380.16 is: 11,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.04 : 15,053.26 = 8,380.16 : x
  2. Step 2: Convert to fraction form
    10,902.04/15,053.26 = 8,380.16/x
  3. Step 3: Cross multiply
    10,902.04x = 15,053.26 × 8,380.16
  4. Step 4: Simplify right side
    10,902.04x = 126,148,727.32
  5. Step 5: Solve for x
    x = 126,148,727.32/10,902.04
  6. Step 6: Final answer
    x = 11,571.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.