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Finding the Fourth Proportional to 6,992.19, 10,478.48 and 3,478.86

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Solution

The fourth proportional to 6,992.19, 10,478.48 and 3,478.86 is: 5,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.19 : 10,478.48 = 3,478.86 : x
  2. Step 2: Convert to fraction form
    6,992.19/10,478.48 = 3,478.86/x
  3. Step 3: Cross multiply
    6,992.19x = 10,478.48 × 3,478.86
  4. Step 4: Simplify right side
    6,992.19x = 36,453,193.28
  5. Step 5: Solve for x
    x = 36,453,193.28/6,992.19
  6. Step 6: Final answer
    x = 5,213.42

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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.