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Finding the Fourth Proportional to 13,671.86, 18,865.98 and 7,702.46

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Solution

The fourth proportional to 13,671.86, 18,865.98 and 7,702.46 is: 10,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.86 : 18,865.98 = 7,702.46 : x
  2. Step 2: Convert to fraction form
    13,671.86/18,865.98 = 7,702.46/x
  3. Step 3: Cross multiply
    13,671.86x = 18,865.98 × 7,702.46
  4. Step 4: Simplify right side
    13,671.86x = 145,314,456.31
  5. Step 5: Solve for x
    x = 145,314,456.31/13,671.86
  6. Step 6: Final answer
    x = 10,628.73

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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.