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Finding the Fourth Proportional to 8,557, 12,835.50 and 3,085

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Solution

The fourth proportional to 8,557, 12,835.50 and 3,085 is: 4,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557 : 12,835.50 = 3,085 : x
  2. Step 2: Convert to fraction form
    8,557/12,835.50 = 3,085/x
  3. Step 3: Cross multiply
    8,557x = 12,835.50 × 3,085
  4. Step 4: Simplify right side
    8,557x = 39,597,517.50
  5. Step 5: Solve for x
    x = 39,597,517.50/8,557
  6. Step 6: Final answer
    x = 4,627.50

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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.