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Finding the Fourth Proportional to 13,671.08, 18,866.44 and 7,702.96

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Solution

The fourth proportional to 13,671.08, 18,866.44 and 7,702.96 is: 10,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.08 : 18,866.44 = 7,702.96 : x
  2. Step 2: Convert to fraction form
    13,671.08/18,866.44 = 7,702.96/x
  3. Step 3: Cross multiply
    13,671.08x = 18,866.44 × 7,702.96
  4. Step 4: Simplify right side
    13,671.08x = 145,327,432.66
  5. Step 5: Solve for x
    x = 145,327,432.66/13,671.08
  6. Step 6: Final answer
    x = 10,630.28

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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.