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Finding the Fourth Proportional to 26,730, 36,884.32 and 14,791.68

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Solution

The fourth proportional to 26,730, 36,884.32 and 14,791.68 is: 20,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 36,884.32 = 14,791.68 : x
  2. Step 2: Convert to fraction form
    26,730/36,884.32 = 14,791.68/x
  3. Step 3: Cross multiply
    26,730x = 36,884.32 × 14,791.68
  4. Step 4: Simplify right side
    26,730x = 545,581,058.46
  5. Step 5: Solve for x
    x = 545,581,058.46/26,730
  6. Step 6: Final answer
    x = 20,410.81

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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.