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Finding the Fourth Proportional to 8,383, 11,568.90 and 4,657

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Solution

The fourth proportional to 8,383, 11,568.90 and 4,657 is: 6,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383 : 11,568.90 = 4,657 : x
  2. Step 2: Convert to fraction form
    8,383/11,568.90 = 4,657/x
  3. Step 3: Cross multiply
    8,383x = 11,568.90 × 4,657
  4. Step 4: Simplify right side
    8,383x = 53,876,367.30
  5. Step 5: Solve for x
    x = 53,876,367.30/8,383
  6. Step 6: Final answer
    x = 6,426.86

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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.