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Finding the Fourth Proportional to 8,585.81, 12,856.82 and 4,191.75

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Solution

The fourth proportional to 8,585.81, 12,856.82 and 4,191.75 is: 6,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.81 : 12,856.82 = 4,191.75 : x
  2. Step 2: Convert to fraction form
    8,585.81/12,856.82 = 4,191.75/x
  3. Step 3: Cross multiply
    8,585.81x = 12,856.82 × 4,191.75
  4. Step 4: Simplify right side
    8,585.81x = 53,892,554.28
  5. Step 5: Solve for x
    x = 53,892,554.28/8,585.81
  6. Step 6: Final answer
    x = 6,276.94

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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.