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Finding the Fourth Proportional to 6,479.72, 8,942.82 and 3,686.12

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Solution

The fourth proportional to 6,479.72, 8,942.82 and 3,686.12 is: 5,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.72 : 8,942.82 = 3,686.12 : x
  2. Step 2: Convert to fraction form
    6,479.72/8,942.82 = 3,686.12/x
  3. Step 3: Cross multiply
    6,479.72x = 8,942.82 × 3,686.12
  4. Step 4: Simplify right side
    6,479.72x = 32,964,307.66
  5. Step 5: Solve for x
    x = 32,964,307.66/6,479.72
  6. Step 6: Final answer
    x = 5,087.30

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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.