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Finding the Fourth Proportional to 8,187.69, 11,299.05 and 4,651.10

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Solution

The fourth proportional to 8,187.69, 11,299.05 and 4,651.10 is: 6,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.69 : 11,299.05 = 4,651.10 : x
  2. Step 2: Convert to fraction form
    8,187.69/11,299.05 = 4,651.10/x
  3. Step 3: Cross multiply
    8,187.69x = 11,299.05 × 4,651.10
  4. Step 4: Simplify right side
    8,187.69x = 52,552,954.96
  5. Step 5: Solve for x
    x = 52,552,954.96/8,187.69
  6. Step 6: Final answer
    x = 6,418.53

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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.