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Finding the Fourth Proportional to 6,713.66, 10,072.31 and 4,778.15

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Solution

The fourth proportional to 6,713.66, 10,072.31 and 4,778.15 is: 7,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.66 : 10,072.31 = 4,778.15 : x
  2. Step 2: Convert to fraction form
    6,713.66/10,072.31 = 4,778.15/x
  3. Step 3: Cross multiply
    6,713.66x = 10,072.31 × 4,778.15
  4. Step 4: Simplify right side
    6,713.66x = 48,126,984.14
  5. Step 5: Solve for x
    x = 48,126,984.14/6,713.66
  6. Step 6: Final answer
    x = 7,168.52

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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.