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Finding the Fourth Proportional to 11,143.29, 16,722.44 and 4,569.29

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Solution

The fourth proportional to 11,143.29, 16,722.44 and 4,569.29 is: 6,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.29 : 16,722.44 = 4,569.29 : x
  2. Step 2: Convert to fraction form
    11,143.29/16,722.44 = 4,569.29/x
  3. Step 3: Cross multiply
    11,143.29x = 16,722.44 × 4,569.29
  4. Step 4: Simplify right side
    11,143.29x = 76,409,677.87
  5. Step 5: Solve for x
    x = 76,409,677.87/11,143.29
  6. Step 6: Final answer
    x = 6,857.01

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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.