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Finding the Fourth Proportional to 39,201, 54,097.38 and 21,537

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Solution

The fourth proportional to 39,201, 54,097.38 and 21,537 is: 29,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201 : 54,097.38 = 21,537 : x
  2. Step 2: Convert to fraction form
    39,201/54,097.38 = 21,537/x
  3. Step 3: Cross multiply
    39,201x = 54,097.38 × 21,537
  4. Step 4: Simplify right side
    39,201x = 1,165,095,273.06
  5. Step 5: Solve for x
    x = 1,165,095,273.06/39,201
  6. Step 6: Final answer
    x = 29,721.06

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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.