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Finding the Fourth Proportional to 5,709.66, 8,560.32 and 3,856.18

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Solution

The fourth proportional to 5,709.66, 8,560.32 and 3,856.18 is: 5,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.66 : 8,560.32 = 3,856.18 : x
  2. Step 2: Convert to fraction form
    5,709.66/8,560.32 = 3,856.18/x
  3. Step 3: Cross multiply
    5,709.66x = 8,560.32 × 3,856.18
  4. Step 4: Simplify right side
    5,709.66x = 33,010,134.78
  5. Step 5: Solve for x
    x = 33,010,134.78/5,709.66
  6. Step 6: Final answer
    x = 5,781.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.