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Finding the Fourth Proportional to 11,923.31, 16,454.16 and 6,618.12

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Solution

The fourth proportional to 11,923.31, 16,454.16 and 6,618.12 is: 9,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.31 : 16,454.16 = 6,618.12 : x
  2. Step 2: Convert to fraction form
    11,923.31/16,454.16 = 6,618.12/x
  3. Step 3: Cross multiply
    11,923.31x = 16,454.16 × 6,618.12
  4. Step 4: Simplify right side
    11,923.31x = 108,895,605.38
  5. Step 5: Solve for x
    x = 108,895,605.38/11,923.31
  6. Step 6: Final answer
    x = 9,133.01

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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.