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Finding the Fourth Proportional to 13,818.78, 20,731.30 and 5,053.69

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Solution

The fourth proportional to 13,818.78, 20,731.30 and 5,053.69 is: 7,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.78 : 20,731.30 = 5,053.69 : x
  2. Step 2: Convert to fraction form
    13,818.78/20,731.30 = 5,053.69/x
  3. Step 3: Cross multiply
    13,818.78x = 20,731.30 × 5,053.69
  4. Step 4: Simplify right side
    13,818.78x = 104,769,563.50
  5. Step 5: Solve for x
    x = 104,769,563.50/13,818.78
  6. Step 6: Final answer
    x = 7,581.68

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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.