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Finding the Fourth Proportional to 12,755.29, 17,602.32 and 7,166.29

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Solution

The fourth proportional to 12,755.29, 17,602.32 and 7,166.29 is: 9,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.29 : 17,602.32 = 7,166.29 : x
  2. Step 2: Convert to fraction form
    12,755.29/17,602.32 = 7,166.29/x
  3. Step 3: Cross multiply
    12,755.29x = 17,602.32 × 7,166.29
  4. Step 4: Simplify right side
    12,755.29x = 126,143,329.79
  5. Step 5: Solve for x
    x = 126,143,329.79/12,755.29
  6. Step 6: Final answer
    x = 9,889.49

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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.