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Finding the Fourth Proportional to 10,104.30, 13,947.68 and 8,682.30

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Solution

The fourth proportional to 10,104.30, 13,947.68 and 8,682.30 is: 11,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.30 : 13,947.68 = 8,682.30 : x
  2. Step 2: Convert to fraction form
    10,104.30/13,947.68 = 8,682.30/x
  3. Step 3: Cross multiply
    10,104.30x = 13,947.68 × 8,682.30
  4. Step 4: Simplify right side
    10,104.30x = 121,097,942.06
  5. Step 5: Solve for x
    x = 121,097,942.06/10,104.30
  6. Step 6: Final answer
    x = 11,984.79

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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.