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Finding the Fourth Proportional to 6,142, 9,211.32 and 3,674.88

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Solution

The fourth proportional to 6,142, 9,211.32 and 3,674.88 is: 5,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 9,211.32 = 3,674.88 : x
  2. Step 2: Convert to fraction form
    6,142/9,211.32 = 3,674.88/x
  3. Step 3: Cross multiply
    6,142x = 9,211.32 × 3,674.88
  4. Step 4: Simplify right side
    6,142x = 33,850,495.64
  5. Step 5: Solve for x
    x = 33,850,495.64/6,142
  6. Step 6: Final answer
    x = 5,511.31

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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.