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Finding the Fourth Proportional to 5,629.77, 8,438.99 and 4,175.42

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Solution

The fourth proportional to 5,629.77, 8,438.99 and 4,175.42 is: 6,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.77 : 8,438.99 = 4,175.42 : x
  2. Step 2: Convert to fraction form
    5,629.77/8,438.99 = 4,175.42/x
  3. Step 3: Cross multiply
    5,629.77x = 8,438.99 × 4,175.42
  4. Step 4: Simplify right side
    5,629.77x = 35,236,264.55
  5. Step 5: Solve for x
    x = 35,236,264.55/5,629.77
  6. Step 6: Final answer
    x = 6,258.92

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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.