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Finding the Fourth Proportional to 5,856.45, 8,784.37 and 2,158.37

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Solution

The fourth proportional to 5,856.45, 8,784.37 and 2,158.37 is: 3,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.45 : 8,784.37 = 2,158.37 : x
  2. Step 2: Convert to fraction form
    5,856.45/8,784.37 = 2,158.37/x
  3. Step 3: Cross multiply
    5,856.45x = 8,784.37 × 2,158.37
  4. Step 4: Simplify right side
    5,856.45x = 18,959,943.17
  5. Step 5: Solve for x
    x = 18,959,943.17/5,856.45
  6. Step 6: Final answer
    x = 3,237.45

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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.