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Finding the Fourth Proportional to 12,761.60, 17,609.76 and 7,172.48

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Solution

The fourth proportional to 12,761.60, 17,609.76 and 7,172.48 is: 9,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.60 : 17,609.76 = 7,172.48 : x
  2. Step 2: Convert to fraction form
    12,761.60/17,609.76 = 7,172.48/x
  3. Step 3: Cross multiply
    12,761.60x = 17,609.76 × 7,172.48
  4. Step 4: Simplify right side
    12,761.60x = 126,305,651.40
  5. Step 5: Solve for x
    x = 126,305,651.40/12,761.60
  6. Step 6: Final answer
    x = 9,897.32

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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.