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Finding the Fourth Proportional to 7,143.66, 10,709.82 and 3,243.51

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Solution

The fourth proportional to 7,143.66, 10,709.82 and 3,243.51 is: 4,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.66 : 10,709.82 = 3,243.51 : x
  2. Step 2: Convert to fraction form
    7,143.66/10,709.82 = 3,243.51/x
  3. Step 3: Cross multiply
    7,143.66x = 10,709.82 × 3,243.51
  4. Step 4: Simplify right side
    7,143.66x = 34,737,408.27
  5. Step 5: Solve for x
    x = 34,737,408.27/7,143.66
  6. Step 6: Final answer
    x = 4,862.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.