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Finding the Fourth Proportional to 8,428.54, 11,624.97 and 6,445.66

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Solution

The fourth proportional to 8,428.54, 11,624.97 and 6,445.66 is: 8,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.54 : 11,624.97 = 6,445.66 : x
  2. Step 2: Convert to fraction form
    8,428.54/11,624.97 = 6,445.66/x
  3. Step 3: Cross multiply
    8,428.54x = 11,624.97 × 6,445.66
  4. Step 4: Simplify right side
    8,428.54x = 74,930,604.13
  5. Step 5: Solve for x
    x = 74,930,604.13/8,428.54
  6. Step 6: Final answer
    x = 8,890.10

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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.