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Finding the Fourth Proportional to 6,856.63, 10,284.94 and 1,662.50

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Solution

The fourth proportional to 6,856.63, 10,284.94 and 1,662.50 is: 2,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.63 : 10,284.94 = 1,662.50 : x
  2. Step 2: Convert to fraction form
    6,856.63/10,284.94 = 1,662.50/x
  3. Step 3: Cross multiply
    6,856.63x = 10,284.94 × 1,662.50
  4. Step 4: Simplify right side
    6,856.63x = 17,098,712.75
  5. Step 5: Solve for x
    x = 17,098,712.75/6,856.63
  6. Step 6: Final answer
    x = 2,493.75

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Similar ratio
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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.