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Finding the Fourth Proportional to 8,483.81, 11,716.81 and 6,617.57

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Solution

The fourth proportional to 8,483.81, 11,716.81 and 6,617.57 is: 9,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.81 : 11,716.81 = 6,617.57 : x
  2. Step 2: Convert to fraction form
    8,483.81/11,716.81 = 6,617.57/x
  3. Step 3: Cross multiply
    8,483.81x = 11,716.81 × 6,617.57
  4. Step 4: Simplify right side
    8,483.81x = 77,536,810.35
  5. Step 5: Solve for x
    x = 77,536,810.35/8,483.81
  6. Step 6: Final answer
    x = 9,139.39

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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.