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Finding the Fourth Proportional to 3,197, 4,795.78 and 888.50

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Solution

The fourth proportional to 3,197, 4,795.78 and 888.50 is: 1,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 4,795.78 = 888.50 : x
  2. Step 2: Convert to fraction form
    3,197/4,795.78 = 888.50/x
  3. Step 3: Cross multiply
    3,197x = 4,795.78 × 888.50
  4. Step 4: Simplify right side
    3,197x = 4,261,050.53
  5. Step 5: Solve for x
    x = 4,261,050.53/3,197
  6. Step 6: Final answer
    x = 1,332.83

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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.