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Finding the Fourth Proportional to 6,951.86, 10,420.50 and 5,100.20

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Solution

The fourth proportional to 6,951.86, 10,420.50 and 5,100.20 is: 7,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.86 : 10,420.50 = 5,100.20 : x
  2. Step 2: Convert to fraction form
    6,951.86/10,420.50 = 5,100.20/x
  3. Step 3: Cross multiply
    6,951.86x = 10,420.50 × 5,100.20
  4. Step 4: Simplify right side
    6,951.86x = 53,146,634.10
  5. Step 5: Solve for x
    x = 53,146,634.10/6,951.86
  6. Step 6: Final answer
    x = 7,644.95

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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.