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Finding the Fourth Proportional to 7,162.85, 10,746.09 and 3,871.41

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Solution

The fourth proportional to 7,162.85, 10,746.09 and 3,871.41 is: 5,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.85 : 10,746.09 = 3,871.41 : x
  2. Step 2: Convert to fraction form
    7,162.85/10,746.09 = 3,871.41/x
  3. Step 3: Cross multiply
    7,162.85x = 10,746.09 × 3,871.41
  4. Step 4: Simplify right side
    7,162.85x = 41,602,520.29
  5. Step 5: Solve for x
    x = 41,602,520.29/7,162.85
  6. Step 6: Final answer
    x = 5,808.10

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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.