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Finding the Fourth Proportional to 7,143.21, 9,857.61 and 3,999.39

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Solution

The fourth proportional to 7,143.21, 9,857.61 and 3,999.39 is: 5,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.21 : 9,857.61 = 3,999.39 : x
  2. Step 2: Convert to fraction form
    7,143.21/9,857.61 = 3,999.39/x
  3. Step 3: Cross multiply
    7,143.21x = 9,857.61 × 3,999.39
  4. Step 4: Simplify right side
    7,143.21x = 39,424,426.86
  5. Step 5: Solve for x
    x = 39,424,426.86/7,143.21
  6. Step 6: Final answer
    x = 5,519.15

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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.