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Finding the Fourth Proportional to 13,463.42, 20,200.98 and 5,145.98

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Solution

The fourth proportional to 13,463.42, 20,200.98 and 5,145.98 is: 7,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.42 : 20,200.98 = 5,145.98 : x
  2. Step 2: Convert to fraction form
    13,463.42/20,200.98 = 5,145.98/x
  3. Step 3: Cross multiply
    13,463.42x = 20,200.98 × 5,145.98
  4. Step 4: Simplify right side
    13,463.42x = 103,953,839.06
  5. Step 5: Solve for x
    x = 103,953,839.06/13,463.42
  6. Step 6: Final answer
    x = 7,721.21

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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.