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Finding the Fourth Proportional to 7,814.52, 11,718.84 and 2,548.16

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Solution

The fourth proportional to 7,814.52, 11,718.84 and 2,548.16 is: 3,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.52 : 11,718.84 = 2,548.16 : x
  2. Step 2: Convert to fraction form
    7,814.52/11,718.84 = 2,548.16/x
  3. Step 3: Cross multiply
    7,814.52x = 11,718.84 × 2,548.16
  4. Step 4: Simplify right side
    7,814.52x = 29,861,479.33
  5. Step 5: Solve for x
    x = 29,861,479.33/7,814.52
  6. Step 6: Final answer
    x = 3,821.28

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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.