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Finding the Fourth Proportional to 6,998.61, 9,657.16 and 4,311.34

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Solution

The fourth proportional to 6,998.61, 9,657.16 and 4,311.34 is: 5,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.61 : 9,657.16 = 4,311.34 : x
  2. Step 2: Convert to fraction form
    6,998.61/9,657.16 = 4,311.34/x
  3. Step 3: Cross multiply
    6,998.61x = 9,657.16 × 4,311.34
  4. Step 4: Simplify right side
    6,998.61x = 41,635,265.27
  5. Step 5: Solve for x
    x = 41,635,265.27/6,998.61
  6. Step 6: Final answer
    x = 5,949.07

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1.5x scale

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.