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Finding the Fourth Proportional to 13,830.99, 20,747.70 and 5,513.10

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Solution

The fourth proportional to 13,830.99, 20,747.70 and 5,513.10 is: 8,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.99 : 20,747.70 = 5,513.10 : x
  2. Step 2: Convert to fraction form
    13,830.99/20,747.70 = 5,513.10/x
  3. Step 3: Cross multiply
    13,830.99x = 20,747.70 × 5,513.10
  4. Step 4: Simplify right side
    13,830.99x = 114,384,144.87
  5. Step 5: Solve for x
    x = 114,384,144.87/13,830.99
  6. Step 6: Final answer
    x = 8,270.13

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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.