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Finding the Fourth Proportional to 9,881.68, 13,625.16 and 8,205.04

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Solution

The fourth proportional to 9,881.68, 13,625.16 and 8,205.04 is: 11,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.68 : 13,625.16 = 8,205.04 : x
  2. Step 2: Convert to fraction form
    9,881.68/13,625.16 = 8,205.04/x
  3. Step 3: Cross multiply
    9,881.68x = 13,625.16 × 8,205.04
  4. Step 4: Simplify right side
    9,881.68x = 111,794,982.81
  5. Step 5: Solve for x
    x = 111,794,982.81/9,881.68
  6. Step 6: Final answer
    x = 11,313.36

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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.