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Finding the Fourth Proportional to 12,612.44, 17,406.90 and 7,644.44

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Solution

The fourth proportional to 12,612.44, 17,406.90 and 7,644.44 is: 10,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.44 : 17,406.90 = 7,644.44 : x
  2. Step 2: Convert to fraction form
    12,612.44/17,406.90 = 7,644.44/x
  3. Step 3: Cross multiply
    12,612.44x = 17,406.90 × 7,644.44
  4. Step 4: Simplify right side
    12,612.44x = 133,066,002.64
  5. Step 5: Solve for x
    x = 133,066,002.64/12,612.44
  6. Step 6: Final answer
    x = 10,550.38

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1.5x scale

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.