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Finding the Fourth Proportional to 6,178.08, 8,498.10 and 5,418.12

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Solution

The fourth proportional to 6,178.08, 8,498.10 and 5,418.12 is: 7,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.08 : 8,498.10 = 5,418.12 : x
  2. Step 2: Convert to fraction form
    6,178.08/8,498.10 = 5,418.12/x
  3. Step 3: Cross multiply
    6,178.08x = 8,498.10 × 5,418.12
  4. Step 4: Simplify right side
    6,178.08x = 46,043,725.57
  5. Step 5: Solve for x
    x = 46,043,725.57/6,178.08
  6. Step 6: Final answer
    x = 7,452.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.