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Finding the Fourth Proportional to 7,041.38, 9,717.39 and 3,897.59

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Solution

The fourth proportional to 7,041.38, 9,717.39 and 3,897.59 is: 5,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.38 : 9,717.39 = 3,897.59 : x
  2. Step 2: Convert to fraction form
    7,041.38/9,717.39 = 3,897.59/x
  3. Step 3: Cross multiply
    7,041.38x = 9,717.39 × 3,897.59
  4. Step 4: Simplify right side
    7,041.38x = 37,874,353.50
  5. Step 5: Solve for x
    x = 37,874,353.50/7,041.38
  6. Step 6: Final answer
    x = 5,378.83

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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.