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Finding the Fourth Proportional to 26,856, 37,062.72 and 15,684.48

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Solution

The fourth proportional to 26,856, 37,062.72 and 15,684.48 is: 21,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 37,062.72 = 15,684.48 : x
  2. Step 2: Convert to fraction form
    26,856/37,062.72 = 15,684.48/x
  3. Step 3: Cross multiply
    26,856x = 37,062.72 × 15,684.48
  4. Step 4: Simplify right side
    26,856x = 581,309,490.59
  5. Step 5: Solve for x
    x = 581,309,490.59/26,856
  6. Step 6: Final answer
    x = 21,645.42

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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.