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Finding the Fourth Proportional to 12,201.13, 16,841.51 and 7,165.22

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Solution

The fourth proportional to 12,201.13, 16,841.51 and 7,165.22 is: 9,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.13 : 16,841.51 = 7,165.22 : x
  2. Step 2: Convert to fraction form
    12,201.13/16,841.51 = 7,165.22/x
  3. Step 3: Cross multiply
    12,201.13x = 16,841.51 × 7,165.22
  4. Step 4: Simplify right side
    12,201.13x = 120,673,124.28
  5. Step 5: Solve for x
    x = 120,673,124.28/12,201.13
  6. Step 6: Final answer
    x = 9,890.32

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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.