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Finding the Fourth Proportional to 10,942.32, 15,094.84 and 7,404.24

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Solution

The fourth proportional to 10,942.32, 15,094.84 and 7,404.24 is: 10,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.32 : 15,094.84 = 7,404.24 : x
  2. Step 2: Convert to fraction form
    10,942.32/15,094.84 = 7,404.24/x
  3. Step 3: Cross multiply
    10,942.32x = 15,094.84 × 7,404.24
  4. Step 4: Simplify right side
    10,942.32x = 111,765,818.12
  5. Step 5: Solve for x
    x = 111,765,818.12/10,942.32
  6. Step 6: Final answer
    x = 10,214.09

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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.