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Finding the Fourth Proportional to 39,323, 54,265.74 and 21,659

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Solution

The fourth proportional to 39,323, 54,265.74 and 21,659 is: 29,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,323 : 54,265.74 = 21,659 : x
  2. Step 2: Convert to fraction form
    39,323/54,265.74 = 21,659/x
  3. Step 3: Cross multiply
    39,323x = 54,265.74 × 21,659
  4. Step 4: Simplify right side
    39,323x = 1,175,341,662.66
  5. Step 5: Solve for x
    x = 1,175,341,662.66/39,323
  6. Step 6: Final answer
    x = 29,889.42

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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.