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Finding the Fourth Proportional to 33,252, 49,878 and 13,541.28

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Solution

The fourth proportional to 33,252, 49,878 and 13,541.28 is: 20,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252 : 49,878 = 13,541.28 : x
  2. Step 2: Convert to fraction form
    33,252/49,878 = 13,541.28/x
  3. Step 3: Cross multiply
    33,252x = 49,878 × 13,541.28
  4. Step 4: Simplify right side
    33,252x = 675,411,963.84
  5. Step 5: Solve for x
    x = 675,411,963.84/33,252
  6. Step 6: Final answer
    x = 20,311.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.