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Finding the Fourth Proportional to 13,828, 20,752.92 and 6,042.28

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Solution

The fourth proportional to 13,828, 20,752.92 and 6,042.28 is: 9,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 20,752.92 = 6,042.28 : x
  2. Step 2: Convert to fraction form
    13,828/20,752.92 = 6,042.28/x
  3. Step 3: Cross multiply
    13,828x = 20,752.92 × 6,042.28
  4. Step 4: Simplify right side
    13,828x = 125,394,953.46
  5. Step 5: Solve for x
    x = 125,394,953.46/13,828
  6. Step 6: Final answer
    x = 9,068.19

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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.