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Finding the Fourth Proportional to 8,074.64, 11,142 and 4,672.23

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Solution

The fourth proportional to 8,074.64, 11,142 and 4,672.23 is: 6,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.64 : 11,142 = 4,672.23 : x
  2. Step 2: Convert to fraction form
    8,074.64/11,142 = 4,672.23/x
  3. Step 3: Cross multiply
    8,074.64x = 11,142 × 4,672.23
  4. Step 4: Simplify right side
    8,074.64x = 52,057,986.66
  5. Step 5: Solve for x
    x = 52,057,986.66/8,074.64
  6. Step 6: Final answer
    x = 6,447.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.