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Finding the Fourth Proportional to 12,644.85, 17,446.12 and 8,164.51

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Solution

The fourth proportional to 12,644.85, 17,446.12 and 8,164.51 is: 11,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.85 : 17,446.12 = 8,164.51 : x
  2. Step 2: Convert to fraction form
    12,644.85/17,446.12 = 8,164.51/x
  3. Step 3: Cross multiply
    12,644.85x = 17,446.12 × 8,164.51
  4. Step 4: Simplify right side
    12,644.85x = 142,439,021.20
  5. Step 5: Solve for x
    x = 142,439,021.20/12,644.85
  6. Step 6: Final answer
    x = 11,264.59

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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.