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Finding the Fourth Proportional to 8,693.36, 13,039.36 and 2,453.12

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Solution

The fourth proportional to 8,693.36, 13,039.36 and 2,453.12 is: 3,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.36 : 13,039.36 = 2,453.12 : x
  2. Step 2: Convert to fraction form
    8,693.36/13,039.36 = 2,453.12/x
  3. Step 3: Cross multiply
    8,693.36x = 13,039.36 × 2,453.12
  4. Step 4: Simplify right side
    8,693.36x = 31,987,114.80
  5. Step 5: Solve for x
    x = 31,987,114.80/8,693.36
  6. Step 6: Final answer
    x = 3,679.49

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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.