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Finding the Fourth Proportional to 8,785.40, 13,178.10 and 7,964.60

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Solution

The fourth proportional to 8,785.40, 13,178.10 and 7,964.60 is: 11,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.40 : 13,178.10 = 7,964.60 : x
  2. Step 2: Convert to fraction form
    8,785.40/13,178.10 = 7,964.60/x
  3. Step 3: Cross multiply
    8,785.40x = 13,178.10 × 7,964.60
  4. Step 4: Simplify right side
    8,785.40x = 104,958,295.26
  5. Step 5: Solve for x
    x = 104,958,295.26/8,785.40
  6. Step 6: Final answer
    x = 11,946.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.