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Finding the Fourth Proportional to 12,608.22, 17,397.27 and 7,640.22

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Solution

The fourth proportional to 12,608.22, 17,397.27 and 7,640.22 is: 10,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.22 : 17,397.27 = 7,640.22 : x
  2. Step 2: Convert to fraction form
    12,608.22/17,397.27 = 7,640.22/x
  3. Step 3: Cross multiply
    12,608.22x = 17,397.27 × 7,640.22
  4. Step 4: Simplify right side
    12,608.22x = 132,918,970.20
  5. Step 5: Solve for x
    x = 132,918,970.20/12,608.22
  6. Step 6: Final answer
    x = 10,542.25

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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.