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Finding the Fourth Proportional to 5,294.64, 7,942.04 and 1,399.44

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Solution

The fourth proportional to 5,294.64, 7,942.04 and 1,399.44 is: 2,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.64 : 7,942.04 = 1,399.44 : x
  2. Step 2: Convert to fraction form
    5,294.64/7,942.04 = 1,399.44/x
  3. Step 3: Cross multiply
    5,294.64x = 7,942.04 × 1,399.44
  4. Step 4: Simplify right side
    5,294.64x = 11,114,408.46
  5. Step 5: Solve for x
    x = 11,114,408.46/5,294.64
  6. Step 6: Final answer
    x = 2,099.18

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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.