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Finding the Fourth Proportional to 5,666.28, 8,498.10 and 2,155.56

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Solution

The fourth proportional to 5,666.28, 8,498.10 and 2,155.56 is: 3,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.28 : 8,498.10 = 2,155.56 : x
  2. Step 2: Convert to fraction form
    5,666.28/8,498.10 = 2,155.56/x
  3. Step 3: Cross multiply
    5,666.28x = 8,498.10 × 2,155.56
  4. Step 4: Simplify right side
    5,666.28x = 18,318,164.44
  5. Step 5: Solve for x
    x = 18,318,164.44/5,666.28
  6. Step 6: Final answer
    x = 3,232.84

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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.