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Finding the Fourth Proportional to 12,101.68, 16,693.07 and 7,617.65

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Solution

The fourth proportional to 12,101.68, 16,693.07 and 7,617.65 is: 10,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.68 : 16,693.07 = 7,617.65 : x
  2. Step 2: Convert to fraction form
    12,101.68/16,693.07 = 7,617.65/x
  3. Step 3: Cross multiply
    12,101.68x = 16,693.07 × 7,617.65
  4. Step 4: Simplify right side
    12,101.68x = 127,161,843.13
  5. Step 5: Solve for x
    x = 127,161,843.13/12,101.68
  6. Step 6: Final answer
    x = 10,507.79

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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.