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Finding the Fourth Proportional to 7,318, 10,099 and 4,006

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Solution

The fourth proportional to 7,318, 10,099 and 4,006 is: 5,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318 : 10,099 = 4,006 : x
  2. Step 2: Convert to fraction form
    7,318/10,099 = 4,006/x
  3. Step 3: Cross multiply
    7,318x = 10,099 × 4,006
  4. Step 4: Simplify right side
    7,318x = 40,456,594
  5. Step 5: Solve for x
    x = 40,456,594/7,318
  6. Step 6: Final answer
    x = 5,528.37

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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.