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Finding the Fourth Proportional to 7,044.29, 9,721.43 and 3,900.47

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Solution

The fourth proportional to 7,044.29, 9,721.43 and 3,900.47 is: 5,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.29 : 9,721.43 = 3,900.47 : x
  2. Step 2: Convert to fraction form
    7,044.29/9,721.43 = 3,900.47/x
  3. Step 3: Cross multiply
    7,044.29x = 9,721.43 × 3,900.47
  4. Step 4: Simplify right side
    7,044.29x = 37,918,077.96
  5. Step 5: Solve for x
    x = 37,918,077.96/7,044.29
  6. Step 6: Final answer
    x = 5,382.81

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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.