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Finding the Fourth Proportional to 8,559, 12,838.50 and 3,087

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Solution

The fourth proportional to 8,559, 12,838.50 and 3,087 is: 4,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559 : 12,838.50 = 3,087 : x
  2. Step 2: Convert to fraction form
    8,559/12,838.50 = 3,087/x
  3. Step 3: Cross multiply
    8,559x = 12,838.50 × 3,087
  4. Step 4: Simplify right side
    8,559x = 39,632,449.50
  5. Step 5: Solve for x
    x = 39,632,449.50/8,559
  6. Step 6: Final answer
    x = 4,630.50

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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.