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Finding the Fourth Proportional to 8,742.35, 13,100.99 and 6,992.64

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Solution

The fourth proportional to 8,742.35, 13,100.99 and 6,992.64 is: 10,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.35 : 13,100.99 = 6,992.64 : x
  2. Step 2: Convert to fraction form
    8,742.35/13,100.99 = 6,992.64/x
  3. Step 3: Cross multiply
    8,742.35x = 13,100.99 × 6,992.64
  4. Step 4: Simplify right side
    8,742.35x = 91,610,471.75
  5. Step 5: Solve for x
    x = 91,610,471.75/8,742.35
  6. Step 6: Final answer
    x = 10,478.94

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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.