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Finding the Fourth Proportional to 8,983.14, 12,383.86 and 6,322.28

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Solution

The fourth proportional to 8,983.14, 12,383.86 and 6,322.28 is: 8,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.14 : 12,383.86 = 6,322.28 : x
  2. Step 2: Convert to fraction form
    8,983.14/12,383.86 = 6,322.28/x
  3. Step 3: Cross multiply
    8,983.14x = 12,383.86 × 6,322.28
  4. Step 4: Simplify right side
    8,983.14x = 78,294,230.40
  5. Step 5: Solve for x
    x = 78,294,230.40/8,983.14
  6. Step 6: Final answer
    x = 8,715.69

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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.