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Finding the Fourth Proportional to 5,757.30, 8,623.80 and 4,785.30

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Solution

The fourth proportional to 5,757.30, 8,623.80 and 4,785.30 is: 7,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.30 : 8,623.80 = 4,785.30 : x
  2. Step 2: Convert to fraction form
    5,757.30/8,623.80 = 4,785.30/x
  3. Step 3: Cross multiply
    5,757.30x = 8,623.80 × 4,785.30
  4. Step 4: Simplify right side
    5,757.30x = 41,267,470.14
  5. Step 5: Solve for x
    x = 41,267,470.14/5,757.30
  6. Step 6: Final answer
    x = 7,167.85

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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.