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Finding the Fourth Proportional to 12,616.39, 17,402.11 and 7,833.48

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Solution

The fourth proportional to 12,616.39, 17,402.11 and 7,833.48 is: 10,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.39 : 17,402.11 = 7,833.48 : x
  2. Step 2: Convert to fraction form
    12,616.39/17,402.11 = 7,833.48/x
  3. Step 3: Cross multiply
    12,616.39x = 17,402.11 × 7,833.48
  4. Step 4: Simplify right side
    12,616.39x = 136,318,995.80
  5. Step 5: Solve for x
    x = 136,318,995.80/12,616.39
  6. Step 6: Final answer
    x = 10,804.91

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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.