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Finding the Fourth Proportional to 26,778.48, 40,167.54 and 20,940

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Solution

The fourth proportional to 26,778.48, 40,167.54 and 20,940 is: 31,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.48 : 40,167.54 = 20,940 : x
  2. Step 2: Convert to fraction form
    26,778.48/40,167.54 = 20,940/x
  3. Step 3: Cross multiply
    26,778.48x = 40,167.54 × 20,940
  4. Step 4: Simplify right side
    26,778.48x = 841,108,287.60
  5. Step 5: Solve for x
    x = 841,108,287.60/26,778.48
  6. Step 6: Final answer
    x = 31,409.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.