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Finding the Fourth Proportional to 10,869, 16,291.22 and 5,013.51

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Solution

The fourth proportional to 10,869, 16,291.22 and 5,013.51 is: 7,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869 : 16,291.22 = 5,013.51 : x
  2. Step 2: Convert to fraction form
    10,869/16,291.22 = 5,013.51/x
  3. Step 3: Cross multiply
    10,869x = 16,291.22 × 5,013.51
  4. Step 4: Simplify right side
    10,869x = 81,676,169.31
  5. Step 5: Solve for x
    x = 81,676,169.31/10,869
  6. Step 6: Final answer
    x = 7,514.60

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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.