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Finding the Fourth Proportional to 6,722, 9,276.48 and 3,737.96

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Solution

The fourth proportional to 6,722, 9,276.48 and 3,737.96 is: 5,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722 : 9,276.48 = 3,737.96 : x
  2. Step 2: Convert to fraction form
    6,722/9,276.48 = 3,737.96/x
  3. Step 3: Cross multiply
    6,722x = 9,276.48 × 3,737.96
  4. Step 4: Simplify right side
    6,722x = 34,675,111.18
  5. Step 5: Solve for x
    x = 34,675,111.18/6,722
  6. Step 6: Final answer
    x = 5,158.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.