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Finding the Fourth Proportional to 6,842.70, 10,255.55 and 3,141

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Solution

The fourth proportional to 6,842.70, 10,255.55 and 3,141 is: 4,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.70 : 10,255.55 = 3,141 : x
  2. Step 2: Convert to fraction form
    6,842.70/10,255.55 = 3,141/x
  3. Step 3: Cross multiply
    6,842.70x = 10,255.55 × 3,141
  4. Step 4: Simplify right side
    6,842.70x = 32,212,666.85
  5. Step 5: Solve for x
    x = 32,212,666.85/6,842.70
  6. Step 6: Final answer
    x = 4,707.60

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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.