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Finding the Fourth Proportional to 9,486.72, 13,101.12 and 8,081.28

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Solution

The fourth proportional to 9,486.72, 13,101.12 and 8,081.28 is: 11,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.72 : 13,101.12 = 8,081.28 : x
  2. Step 2: Convert to fraction form
    9,486.72/13,101.12 = 8,081.28/x
  3. Step 3: Cross multiply
    9,486.72x = 13,101.12 × 8,081.28
  4. Step 4: Simplify right side
    9,486.72x = 105,873,819.03
  5. Step 5: Solve for x
    x = 105,873,819.03/9,486.72
  6. Step 6: Final answer
    x = 11,160.21

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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.