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Finding the Fourth Proportional to 39,389, 54,361.50 and 22,395.82

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Solution

The fourth proportional to 39,389, 54,361.50 and 22,395.82 is: 30,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,389 : 54,361.50 = 22,395.82 : x
  2. Step 2: Convert to fraction form
    39,389/54,361.50 = 22,395.82/x
  3. Step 3: Cross multiply
    39,389x = 54,361.50 × 22,395.82
  4. Step 4: Simplify right side
    39,389x = 1,217,470,368.93
  5. Step 5: Solve for x
    x = 1,217,470,368.93/39,389
  6. Step 6: Final answer
    x = 30,908.89

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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.