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Finding the Fourth Proportional to 6,859.14, 10,274.31 and 6,781.38

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Solution

The fourth proportional to 6,859.14, 10,274.31 and 6,781.38 is: 10,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.14 : 10,274.31 = 6,781.38 : x
  2. Step 2: Convert to fraction form
    6,859.14/10,274.31 = 6,781.38/x
  3. Step 3: Cross multiply
    6,859.14x = 10,274.31 × 6,781.38
  4. Step 4: Simplify right side
    6,859.14x = 69,674,000.35
  5. Step 5: Solve for x
    x = 69,674,000.35/6,859.14
  6. Step 6: Final answer
    x = 10,157.83

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1.5x scale

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.