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Finding the Fourth Proportional to 4,191, 6,286.50 and 1,113

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Solution

The fourth proportional to 4,191, 6,286.50 and 1,113 is: 1,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 6,286.50 = 1,113 : x
  2. Step 2: Convert to fraction form
    4,191/6,286.50 = 1,113/x
  3. Step 3: Cross multiply
    4,191x = 6,286.50 × 1,113
  4. Step 4: Simplify right side
    4,191x = 6,996,874.50
  5. Step 5: Solve for x
    x = 6,996,874.50/4,191
  6. Step 6: Final answer
    x = 1,669.50

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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.