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Finding the Fourth Proportional to 12,865.92, 17,755.80 and 7,201.32

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Solution

The fourth proportional to 12,865.92, 17,755.80 and 7,201.32 is: 9,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.92 : 17,755.80 = 7,201.32 : x
  2. Step 2: Convert to fraction form
    12,865.92/17,755.80 = 7,201.32/x
  3. Step 3: Cross multiply
    12,865.92x = 17,755.80 × 7,201.32
  4. Step 4: Simplify right side
    12,865.92x = 127,865,197.66
  5. Step 5: Solve for x
    x = 127,865,197.66/12,865.92
  6. Step 6: Final answer
    x = 9,938.29

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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.