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Finding the Fourth Proportional to 11,959.64, 16,496.64 and 7,716.12

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Solution

The fourth proportional to 11,959.64, 16,496.64 and 7,716.12 is: 10,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.64 : 16,496.64 = 7,716.12 : x
  2. Step 2: Convert to fraction form
    11,959.64/16,496.64 = 7,716.12/x
  3. Step 3: Cross multiply
    11,959.64x = 16,496.64 × 7,716.12
  4. Step 4: Simplify right side
    11,959.64x = 127,290,053.84
  5. Step 5: Solve for x
    x = 127,290,053.84/11,959.64
  6. Step 6: Final answer
    x = 10,643.30

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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.