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Finding the Fourth Proportional to 7,456.38, 10,289.21 and 4,099.11

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Solution

The fourth proportional to 7,456.38, 10,289.21 and 4,099.11 is: 5,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.38 : 10,289.21 = 4,099.11 : x
  2. Step 2: Convert to fraction form
    7,456.38/10,289.21 = 4,099.11/x
  3. Step 3: Cross multiply
    7,456.38x = 10,289.21 × 4,099.11
  4. Step 4: Simplify right side
    7,456.38x = 42,176,583.11
  5. Step 5: Solve for x
    x = 42,176,583.11/7,456.38
  6. Step 6: Final answer
    x = 5,656.44

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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.