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Finding the Fourth Proportional to 11,699.65, 16,145.46 and 6,921.31

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Solution

The fourth proportional to 11,699.65, 16,145.46 and 6,921.31 is: 9,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.65 : 16,145.46 = 6,921.31 : x
  2. Step 2: Convert to fraction form
    11,699.65/16,145.46 = 6,921.31/x
  3. Step 3: Cross multiply
    11,699.65x = 16,145.46 × 6,921.31
  4. Step 4: Simplify right side
    11,699.65x = 111,747,733.75
  5. Step 5: Solve for x
    x = 111,747,733.75/11,699.65
  6. Step 6: Final answer
    x = 9,551.37

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1.5x scale

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.