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Finding the Fourth Proportional to 11,787, 16,268.86 and 6,754.10

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Solution

The fourth proportional to 11,787, 16,268.86 and 6,754.10 is: 9,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787 : 16,268.86 = 6,754.10 : x
  2. Step 2: Convert to fraction form
    11,787/16,268.86 = 6,754.10/x
  3. Step 3: Cross multiply
    11,787x = 16,268.86 × 6,754.10
  4. Step 4: Simplify right side
    11,787x = 109,881,507.33
  5. Step 5: Solve for x
    x = 109,881,507.33/11,787
  6. Step 6: Final answer
    x = 9,322.26

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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.