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Finding the Fourth Proportional to 26,930, 37,163.40 and 15,754.16

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Solution

The fourth proportional to 26,930, 37,163.40 and 15,754.16 is: 21,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930 : 37,163.40 = 15,754.16 : x
  2. Step 2: Convert to fraction form
    26,930/37,163.40 = 15,754.16/x
  3. Step 3: Cross multiply
    26,930x = 37,163.40 × 15,754.16
  4. Step 4: Simplify right side
    26,930x = 585,478,149.74
  5. Step 5: Solve for x
    x = 585,478,149.74/26,930
  6. Step 6: Final answer
    x = 21,740.74

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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.