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Finding the Fourth Proportional to 13,820.16, 20,738.16 and 5,053.92

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Solution

The fourth proportional to 13,820.16, 20,738.16 and 5,053.92 is: 7,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.16 : 20,738.16 = 5,053.92 : x
  2. Step 2: Convert to fraction form
    13,820.16/20,738.16 = 5,053.92/x
  3. Step 3: Cross multiply
    13,820.16x = 20,738.16 × 5,053.92
  4. Step 4: Simplify right side
    13,820.16x = 104,809,001.59
  5. Step 5: Solve for x
    x = 104,809,001.59/13,820.16
  6. Step 6: Final answer
    x = 7,583.78

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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.