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Finding the Fourth Proportional to 12,142.74, 16,746.54 and 8,372.04

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Solution

The fourth proportional to 12,142.74, 16,746.54 and 8,372.04 is: 11,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.74 : 16,746.54 = 8,372.04 : x
  2. Step 2: Convert to fraction form
    12,142.74/16,746.54 = 8,372.04/x
  3. Step 3: Cross multiply
    12,142.74x = 16,746.54 × 8,372.04
  4. Step 4: Simplify right side
    12,142.74x = 140,202,702.74
  5. Step 5: Solve for x
    x = 140,202,702.74/12,142.74
  6. Step 6: Final answer
    x = 11,546.22

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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.