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Finding the Fourth Proportional to 6,890, 9,508.20 and 4,095.50

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Solution

The fourth proportional to 6,890, 9,508.20 and 4,095.50 is: 5,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890 : 9,508.20 = 4,095.50 : x
  2. Step 2: Convert to fraction form
    6,890/9,508.20 = 4,095.50/x
  3. Step 3: Cross multiply
    6,890x = 9,508.20 × 4,095.50
  4. Step 4: Simplify right side
    6,890x = 38,940,833.10
  5. Step 5: Solve for x
    x = 38,940,833.10/6,890
  6. Step 6: Final answer
    x = 5,651.79

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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.