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Finding the Fourth Proportional to 33,250, 49,875 and 13,539.28

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Solution

The fourth proportional to 33,250, 49,875 and 13,539.28 is: 20,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 49,875 = 13,539.28 : x
  2. Step 2: Convert to fraction form
    33,250/49,875 = 13,539.28/x
  3. Step 3: Cross multiply
    33,250x = 49,875 × 13,539.28
  4. Step 4: Simplify right side
    33,250x = 675,271,590
  5. Step 5: Solve for x
    x = 675,271,590/33,250
  6. Step 6: Final answer
    x = 20,308.92

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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.