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Finding the Fourth Proportional to 5,806.08, 8,705.81 and 1,856.57

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Solution

The fourth proportional to 5,806.08, 8,705.81 and 1,856.57 is: 2,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.08 : 8,705.81 = 1,856.57 : x
  2. Step 2: Convert to fraction form
    5,806.08/8,705.81 = 1,856.57/x
  3. Step 3: Cross multiply
    5,806.08x = 8,705.81 × 1,856.57
  4. Step 4: Simplify right side
    5,806.08x = 16,162,892.86
  5. Step 5: Solve for x
    x = 16,162,892.86/5,806.08
  6. Step 6: Final answer
    x = 2,783.79

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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.