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Finding the Fourth Proportional to 8,528.02, 12,782 and 3,259.56

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Solution

The fourth proportional to 8,528.02, 12,782 and 3,259.56 is: 4,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.02 : 12,782 = 3,259.56 : x
  2. Step 2: Convert to fraction form
    8,528.02/12,782 = 3,259.56/x
  3. Step 3: Cross multiply
    8,528.02x = 12,782 × 3,259.56
  4. Step 4: Simplify right side
    8,528.02x = 41,663,695.92
  5. Step 5: Solve for x
    x = 41,663,695.92/8,528.02
  6. Step 6: Final answer
    x = 4,885.51

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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.