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Finding the Fourth Proportional to 7,099.72, 9,797.84 and 3,913.36

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Solution

The fourth proportional to 7,099.72, 9,797.84 and 3,913.36 is: 5,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.72 : 9,797.84 = 3,913.36 : x
  2. Step 2: Convert to fraction form
    7,099.72/9,797.84 = 3,913.36/x
  3. Step 3: Cross multiply
    7,099.72x = 9,797.84 × 3,913.36
  4. Step 4: Simplify right side
    7,099.72x = 38,342,475.14
  5. Step 5: Solve for x
    x = 38,342,475.14/7,099.72
  6. Step 6: Final answer
    x = 5,400.56

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Why These Related Problems?

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