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Finding the Fourth Proportional to 6,714.90, 9,257.49 and 5,665.14

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Solution

The fourth proportional to 6,714.90, 9,257.49 and 5,665.14 is: 7,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.90 : 9,257.49 = 5,665.14 : x
  2. Step 2: Convert to fraction form
    6,714.90/9,257.49 = 5,665.14/x
  3. Step 3: Cross multiply
    6,714.90x = 9,257.49 × 5,665.14
  4. Step 4: Simplify right side
    6,714.90x = 52,444,976.90
  5. Step 5: Solve for x
    x = 52,444,976.90/6,714.90
  6. Step 6: Final answer
    x = 7,810.24

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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.