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Finding the Fourth Proportional to 7,814.66, 11,719.04 and 2,548.31

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Solution

The fourth proportional to 7,814.66, 11,719.04 and 2,548.31 is: 3,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.66 : 11,719.04 = 2,548.31 : x
  2. Step 2: Convert to fraction form
    7,814.66/11,719.04 = 2,548.31/x
  3. Step 3: Cross multiply
    7,814.66x = 11,719.04 × 2,548.31
  4. Step 4: Simplify right side
    7,814.66x = 29,863,675.49
  5. Step 5: Solve for x
    x = 29,863,675.49/7,814.66
  6. Step 6: Final answer
    x = 3,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.