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Finding the Fourth Proportional to 8,509.59, 12,765.78 and 2,664.81

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Solution

The fourth proportional to 8,509.59, 12,765.78 and 2,664.81 is: 3,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.59 : 12,765.78 = 2,664.81 : x
  2. Step 2: Convert to fraction form
    8,509.59/12,765.78 = 2,664.81/x
  3. Step 3: Cross multiply
    8,509.59x = 12,765.78 × 2,664.81
  4. Step 4: Simplify right side
    8,509.59x = 34,018,378.20
  5. Step 5: Solve for x
    x = 34,018,378.20/8,509.59
  6. Step 6: Final answer
    x = 3,997.65

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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.