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Finding the Fourth Proportional to 5,919.42, 8,878.59 and 5,455.38

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Solution

The fourth proportional to 5,919.42, 8,878.59 and 5,455.38 is: 8,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.42 : 8,878.59 = 5,455.38 : x
  2. Step 2: Convert to fraction form
    5,919.42/8,878.59 = 5,455.38/x
  3. Step 3: Cross multiply
    5,919.42x = 8,878.59 × 5,455.38
  4. Step 4: Simplify right side
    5,919.42x = 48,436,082.31
  5. Step 5: Solve for x
    x = 48,436,082.31/5,919.42
  6. Step 6: Final answer
    x = 8,182.57

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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.