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Finding the Fourth Proportional to 6,998.38, 9,657.70 and 3,854.50

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Solution

The fourth proportional to 6,998.38, 9,657.70 and 3,854.50 is: 5,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.38 : 9,657.70 = 3,854.50 : x
  2. Step 2: Convert to fraction form
    6,998.38/9,657.70 = 3,854.50/x
  3. Step 3: Cross multiply
    6,998.38x = 9,657.70 × 3,854.50
  4. Step 4: Simplify right side
    6,998.38x = 37,225,604.65
  5. Step 5: Solve for x
    x = 37,225,604.65/6,998.38
  6. Step 6: Final answer
    x = 5,319.17

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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.