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Finding the Fourth Proportional to 26,900, 37,122 and 15,124

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Solution

The fourth proportional to 26,900, 37,122 and 15,124 is: 20,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900 : 37,122 = 15,124 : x
  2. Step 2: Convert to fraction form
    26,900/37,122 = 15,124/x
  3. Step 3: Cross multiply
    26,900x = 37,122 × 15,124
  4. Step 4: Simplify right side
    26,900x = 561,433,128
  5. Step 5: Solve for x
    x = 561,433,128/26,900
  6. Step 6: Final answer
    x = 20,871.12

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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.