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Finding the Fourth Proportional to 9,645.34, 13,286.74 and 8,224.40

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Solution

The fourth proportional to 9,645.34, 13,286.74 and 8,224.40 is: 11,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.34 : 13,286.74 = 8,224.40 : x
  2. Step 2: Convert to fraction form
    9,645.34/13,286.74 = 8,224.40/x
  3. Step 3: Cross multiply
    9,645.34x = 13,286.74 × 8,224.40
  4. Step 4: Simplify right side
    9,645.34x = 109,275,464.46
  5. Step 5: Solve for x
    x = 109,275,464.46/9,645.34
  6. Step 6: Final answer
    x = 11,329.35

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Half scale
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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.