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Finding the Fourth Proportional to 10,950, 15,111.02 and 6,234.29

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Solution

The fourth proportional to 10,950, 15,111.02 and 6,234.29 is: 8,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950 : 15,111.02 = 6,234.29 : x
  2. Step 2: Convert to fraction form
    10,950/15,111.02 = 6,234.29/x
  3. Step 3: Cross multiply
    10,950x = 15,111.02 × 6,234.29
  4. Step 4: Simplify right side
    10,950x = 94,206,374.15
  5. Step 5: Solve for x
    x = 94,206,374.15/10,950
  6. Step 6: Final answer
    x = 8,603.32

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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.