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Finding the Fourth Proportional to 7,714.36, 11,571.78 and 5,340.10

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Solution

The fourth proportional to 7,714.36, 11,571.78 and 5,340.10 is: 8,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.36 : 11,571.78 = 5,340.10 : x
  2. Step 2: Convert to fraction form
    7,714.36/11,571.78 = 5,340.10/x
  3. Step 3: Cross multiply
    7,714.36x = 11,571.78 × 5,340.10
  4. Step 4: Simplify right side
    7,714.36x = 61,794,462.38
  5. Step 5: Solve for x
    x = 61,794,462.38/7,714.36
  6. Step 6: Final answer
    x = 8,010.32

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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.