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Finding the Fourth Proportional to 7,143.58, 10,717.07 and 2,981.27

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Solution

The fourth proportional to 7,143.58, 10,717.07 and 2,981.27 is: 4,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.58 : 10,717.07 = 2,981.27 : x
  2. Step 2: Convert to fraction form
    7,143.58/10,717.07 = 2,981.27/x
  3. Step 3: Cross multiply
    7,143.58x = 10,717.07 × 2,981.27
  4. Step 4: Simplify right side
    7,143.58x = 31,950,479.28
  5. Step 5: Solve for x
    x = 31,950,479.28/7,143.58
  6. Step 6: Final answer
    x = 4,472.61

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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.