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Finding the Fourth Proportional to 6,856.88, 10,285.38 and 1,662.76

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Solution

The fourth proportional to 6,856.88, 10,285.38 and 1,662.76 is: 2,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.88 : 10,285.38 = 1,662.76 : x
  2. Step 2: Convert to fraction form
    6,856.88/10,285.38 = 1,662.76/x
  3. Step 3: Cross multiply
    6,856.88x = 10,285.38 × 1,662.76
  4. Step 4: Simplify right side
    6,856.88x = 17,102,118.45
  5. Step 5: Solve for x
    x = 17,102,118.45/6,856.88
  6. Step 6: Final answer
    x = 2,494.15

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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.