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Finding the Fourth Proportional to 10,021, 13,829.62 and 5,605

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Solution

The fourth proportional to 10,021, 13,829.62 and 5,605 is: 7,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 13,829.62 = 5,605 : x
  2. Step 2: Convert to fraction form
    10,021/13,829.62 = 5,605/x
  3. Step 3: Cross multiply
    10,021x = 13,829.62 × 5,605
  4. Step 4: Simplify right side
    10,021x = 77,515,020.10
  5. Step 5: Solve for x
    x = 77,515,020.10/10,021
  6. Step 6: Final answer
    x = 7,735.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.