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Finding the Fourth Proportional to 13,704.74, 20,557.10 and 3,845.48

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Solution

The fourth proportional to 13,704.74, 20,557.10 and 3,845.48 is: 5,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.74 : 20,557.10 = 3,845.48 : x
  2. Step 2: Convert to fraction form
    13,704.74/20,557.10 = 3,845.48/x
  3. Step 3: Cross multiply
    13,704.74x = 20,557.10 × 3,845.48
  4. Step 4: Simplify right side
    13,704.74x = 79,051,916.91
  5. Step 5: Solve for x
    x = 79,051,916.91/13,704.74
  6. Step 6: Final answer
    x = 5,768.22

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1.5x scale

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.