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Finding the Fourth Proportional to 7,298.38, 10,072 and 3,986.38

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Solution

The fourth proportional to 7,298.38, 10,072 and 3,986.38 is: 5,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.38 : 10,072 = 3,986.38 : x
  2. Step 2: Convert to fraction form
    7,298.38/10,072 = 3,986.38/x
  3. Step 3: Cross multiply
    7,298.38x = 10,072 × 3,986.38
  4. Step 4: Simplify right side
    7,298.38x = 40,150,769
  5. Step 5: Solve for x
    x = 40,150,769/7,298.38
  6. Step 6: Final answer
    x = 5,501.33

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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.