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Finding the Fourth Proportional to 10,887.84, 16,308.12 and 6,728.88

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Solution

The fourth proportional to 10,887.84, 16,308.12 and 6,728.88 is: 10,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.84 : 16,308.12 = 6,728.88 : x
  2. Step 2: Convert to fraction form
    10,887.84/16,308.12 = 6,728.88/x
  3. Step 3: Cross multiply
    10,887.84x = 16,308.12 × 6,728.88
  4. Step 4: Simplify right side
    10,887.84x = 109,735,382.51
  5. Step 5: Solve for x
    x = 109,735,382.51/10,887.84
  6. Step 6: Final answer
    x = 10,078.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.