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Finding the Fourth Proportional to 8,940.36, 13,415 and 4,013.52

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Solution

The fourth proportional to 8,940.36, 13,415 and 4,013.52 is: 6,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.36 : 13,415 = 4,013.52 : x
  2. Step 2: Convert to fraction form
    8,940.36/13,415 = 4,013.52/x
  3. Step 3: Cross multiply
    8,940.36x = 13,415 × 4,013.52
  4. Step 4: Simplify right side
    8,940.36x = 53,841,370.80
  5. Step 5: Solve for x
    x = 53,841,370.80/8,940.36
  6. Step 6: Final answer
    x = 6,022.28

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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.