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Finding the Fourth Proportional to 7,429.44, 11,146 and 5,242.44

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Solution

The fourth proportional to 7,429.44, 11,146 and 5,242.44 is: 7,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.44 : 11,146 = 5,242.44 : x
  2. Step 2: Convert to fraction form
    7,429.44/11,146 = 5,242.44/x
  3. Step 3: Cross multiply
    7,429.44x = 11,146 × 5,242.44
  4. Step 4: Simplify right side
    7,429.44x = 58,432,236.24
  5. Step 5: Solve for x
    x = 58,432,236.24/7,429.44
  6. Step 6: Final answer
    x = 7,864.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.