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Finding the Fourth Proportional to 13,702.64, 18,908.03 and 7,733.95

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Solution

The fourth proportional to 13,702.64, 18,908.03 and 7,733.95 is: 10,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.64 : 18,908.03 = 7,733.95 : x
  2. Step 2: Convert to fraction form
    13,702.64/18,908.03 = 7,733.95/x
  3. Step 3: Cross multiply
    13,702.64x = 18,908.03 × 7,733.95
  4. Step 4: Simplify right side
    13,702.64x = 146,233,730.68
  5. Step 5: Solve for x
    x = 146,233,730.68/13,702.64
  6. Step 6: Final answer
    x = 10,671.94

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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.