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Finding the Fourth Proportional to 6,856.77, 10,287.90 and 4,084.77

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Solution

The fourth proportional to 6,856.77, 10,287.90 and 4,084.77 is: 6,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.77 : 10,287.90 = 4,084.77 : x
  2. Step 2: Convert to fraction form
    6,856.77/10,287.90 = 4,084.77/x
  3. Step 3: Cross multiply
    6,856.77x = 10,287.90 × 4,084.77
  4. Step 4: Simplify right side
    6,856.77x = 42,023,705.28
  5. Step 5: Solve for x
    x = 42,023,705.28/6,856.77
  6. Step 6: Final answer
    x = 6,128.79

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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.