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Finding the Fourth Proportional to 8,289, 12,433.50 and 2,817

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Solution

The fourth proportional to 8,289, 12,433.50 and 2,817 is: 4,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 12,433.50 = 2,817 : x
  2. Step 2: Convert to fraction form
    8,289/12,433.50 = 2,817/x
  3. Step 3: Cross multiply
    8,289x = 12,433.50 × 2,817
  4. Step 4: Simplify right side
    8,289x = 35,025,169.50
  5. Step 5: Solve for x
    x = 35,025,169.50/8,289
  6. Step 6: Final answer
    x = 4,225.50

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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.