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Finding the Fourth Proportional to 10,910, 15,056.12 and 5,942.32

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Solution

The fourth proportional to 10,910, 15,056.12 and 5,942.32 is: 8,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910 : 15,056.12 = 5,942.32 : x
  2. Step 2: Convert to fraction form
    10,910/15,056.12 = 5,942.32/x
  3. Step 3: Cross multiply
    10,910x = 15,056.12 × 5,942.32
  4. Step 4: Simplify right side
    10,910x = 89,468,283.00
  5. Step 5: Solve for x
    x = 89,468,283.00/10,910
  6. Step 6: Final answer
    x = 8,200.58

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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.