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Finding the Fourth Proportional to 5,442.84, 8,166.99 and 2,158.32

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Solution

The fourth proportional to 5,442.84, 8,166.99 and 2,158.32 is: 3,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.84 : 8,166.99 = 2,158.32 : x
  2. Step 2: Convert to fraction form
    5,442.84/8,166.99 = 2,158.32/x
  3. Step 3: Cross multiply
    5,442.84x = 8,166.99 × 2,158.32
  4. Step 4: Simplify right side
    5,442.84x = 17,626,977.86
  5. Step 5: Solve for x
    x = 17,626,977.86/5,442.84
  6. Step 6: Final answer
    x = 3,238.56

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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.