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Finding the Fourth Proportional to 7,074.64, 10,612 and 2,144.32

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Solution

The fourth proportional to 7,074.64, 10,612 and 2,144.32 is: 3,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.64 : 10,612 = 2,144.32 : x
  2. Step 2: Convert to fraction form
    7,074.64/10,612 = 2,144.32/x
  3. Step 3: Cross multiply
    7,074.64x = 10,612 × 2,144.32
  4. Step 4: Simplify right side
    7,074.64x = 22,755,523.84
  5. Step 5: Solve for x
    x = 22,755,523.84/7,074.64
  6. Step 6: Final answer
    x = 3,216.49

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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.