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Finding the Fourth Proportional to 6,978.22, 10,463.23 and 2,818.36

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Solution

The fourth proportional to 6,978.22, 10,463.23 and 2,818.36 is: 4,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.22 : 10,463.23 = 2,818.36 : x
  2. Step 2: Convert to fraction form
    6,978.22/10,463.23 = 2,818.36/x
  3. Step 3: Cross multiply
    6,978.22x = 10,463.23 × 2,818.36
  4. Step 4: Simplify right side
    6,978.22x = 29,489,148.90
  5. Step 5: Solve for x
    x = 29,489,148.90/6,978.22
  6. Step 6: Final answer
    x = 4,225.88

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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.