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Finding the Fourth Proportional to 13,702.89, 18,910.05 and 7,415.27

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Solution

The fourth proportional to 13,702.89, 18,910.05 and 7,415.27 is: 10,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.89 : 18,910.05 = 7,415.27 : x
  2. Step 2: Convert to fraction form
    13,702.89/18,910.05 = 7,415.27/x
  3. Step 3: Cross multiply
    13,702.89x = 18,910.05 × 7,415.27
  4. Step 4: Simplify right side
    13,702.89x = 140,223,116.73
  5. Step 5: Solve for x
    x = 140,223,116.73/13,702.89
  6. Step 6: Final answer
    x = 10,233.10

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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.