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Finding the Fourth Proportional to 7,041.72, 9,717.22 and 3,897.84

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Solution

The fourth proportional to 7,041.72, 9,717.22 and 3,897.84 is: 5,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.72 : 9,717.22 = 3,897.84 : x
  2. Step 2: Convert to fraction form
    7,041.72/9,717.22 = 3,897.84/x
  3. Step 3: Cross multiply
    7,041.72x = 9,717.22 × 3,897.84
  4. Step 4: Simplify right side
    7,041.72x = 37,876,168.80
  5. Step 5: Solve for x
    x = 37,876,168.80/7,041.72
  6. Step 6: Final answer
    x = 5,378.82

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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.