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Finding the Fourth Proportional to 6,514.78, 8,990.24 and 3,682.14

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Solution

The fourth proportional to 6,514.78, 8,990.24 and 3,682.14 is: 5,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.78 : 8,990.24 = 3,682.14 : x
  2. Step 2: Convert to fraction form
    6,514.78/8,990.24 = 3,682.14/x
  3. Step 3: Cross multiply
    6,514.78x = 8,990.24 × 3,682.14
  4. Step 4: Simplify right side
    6,514.78x = 33,103,341.47
  5. Step 5: Solve for x
    x = 33,103,341.47/6,514.78
  6. Step 6: Final answer
    x = 5,081.27

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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.