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Finding the Fourth Proportional to 12,836.16, 17,716.80 and 8,126.40

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Solution

The fourth proportional to 12,836.16, 17,716.80 and 8,126.40 is: 11,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.16 : 17,716.80 = 8,126.40 : x
  2. Step 2: Convert to fraction form
    12,836.16/17,716.80 = 8,126.40/x
  3. Step 3: Cross multiply
    12,836.16x = 17,716.80 × 8,126.40
  4. Step 4: Simplify right side
    12,836.16x = 143,973,803.52
  5. Step 5: Solve for x
    x = 143,973,803.52/12,836.16
  6. Step 6: Final answer
    x = 11,216.27

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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.