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Finding the Fourth Proportional to 13,702.17, 18,906.98 and 8,034.78

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Solution

The fourth proportional to 13,702.17, 18,906.98 and 8,034.78 is: 11,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.17 : 18,906.98 = 8,034.78 : x
  2. Step 2: Convert to fraction form
    13,702.17/18,906.98 = 8,034.78/x
  3. Step 3: Cross multiply
    13,702.17x = 18,906.98 × 8,034.78
  4. Step 4: Simplify right side
    13,702.17x = 151,913,455.49
  5. Step 5: Solve for x
    x = 151,913,455.49/13,702.17
  6. Step 6: Final answer
    x = 11,086.81

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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.