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Finding the Fourth Proportional to 39,561.78, 54,593 and 21,653.22

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Solution

The fourth proportional to 39,561.78, 54,593 and 21,653.22 is: 29,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561.78 : 54,593 = 21,653.22 : x
  2. Step 2: Convert to fraction form
    39,561.78/54,593 = 21,653.22/x
  3. Step 3: Cross multiply
    39,561.78x = 54,593 × 21,653.22
  4. Step 4: Simplify right side
    39,561.78x = 1,182,114,239.46
  5. Step 5: Solve for x
    x = 1,182,114,239.46/39,561.78
  6. Step 6: Final answer
    x = 29,880.21

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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.