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Finding the Fourth Proportional to 7,234, 10,842.84 and 3,946

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Solution

The fourth proportional to 7,234, 10,842.84 and 3,946 is: 5,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234 : 10,842.84 = 3,946 : x
  2. Step 2: Convert to fraction form
    7,234/10,842.84 = 3,946/x
  3. Step 3: Cross multiply
    7,234x = 10,842.84 × 3,946
  4. Step 4: Simplify right side
    7,234x = 42,785,846.64
  5. Step 5: Solve for x
    x = 42,785,846.64/7,234
  6. Step 6: Final answer
    x = 5,914.55

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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.