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Finding the Fourth Proportional to 8,559.20, 11,812.30 and 4,783

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Solution

The fourth proportional to 8,559.20, 11,812.30 and 4,783 is: 6,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.20 : 11,812.30 = 4,783 : x
  2. Step 2: Convert to fraction form
    8,559.20/11,812.30 = 4,783/x
  3. Step 3: Cross multiply
    8,559.20x = 11,812.30 × 4,783
  4. Step 4: Simplify right side
    8,559.20x = 56,498,230.90
  5. Step 5: Solve for x
    x = 56,498,230.90/8,559.20
  6. Step 6: Final answer
    x = 6,600.88

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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.