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Finding the Fourth Proportional to 26,916, 37,144.08 and 15,140

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Solution

The fourth proportional to 26,916, 37,144.08 and 15,140 is: 20,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916 : 37,144.08 = 15,140 : x
  2. Step 2: Convert to fraction form
    26,916/37,144.08 = 15,140/x
  3. Step 3: Cross multiply
    26,916x = 37,144.08 × 15,140
  4. Step 4: Simplify right side
    26,916x = 562,361,371.20
  5. Step 5: Solve for x
    x = 562,361,371.20/26,916
  6. Step 6: Final answer
    x = 20,893.20

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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.