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Finding the Fourth Proportional to 8,612.82, 11,891.49 and 5,784.39

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Solution

The fourth proportional to 8,612.82, 11,891.49 and 5,784.39 is: 7,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.82 : 11,891.49 = 5,784.39 : x
  2. Step 2: Convert to fraction form
    8,612.82/11,891.49 = 5,784.39/x
  3. Step 3: Cross multiply
    8,612.82x = 11,891.49 × 5,784.39
  4. Step 4: Simplify right side
    8,612.82x = 68,785,015.84
  5. Step 5: Solve for x
    x = 68,785,015.84/8,612.82
  6. Step 6: Final answer
    x = 7,986.35

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1.5x scale

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.