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Finding the Fourth Proportional to 9,662.76, 13,332.78 and 9,170.64

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Solution

The fourth proportional to 9,662.76, 13,332.78 and 9,170.64 is: 12,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.76 : 13,332.78 = 9,170.64 : x
  2. Step 2: Convert to fraction form
    9,662.76/13,332.78 = 9,170.64/x
  3. Step 3: Cross multiply
    9,662.76x = 13,332.78 × 9,170.64
  4. Step 4: Simplify right side
    9,662.76x = 122,270,125.58
  5. Step 5: Solve for x
    x = 122,270,125.58/9,662.76
  6. Step 6: Final answer
    x = 12,653.75

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Half scale
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Double 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.