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Finding the Fourth Proportional to 3,497.50, 5,247.06 and 1,189

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Solution

The fourth proportional to 3,497.50, 5,247.06 and 1,189 is: 1,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.50 : 5,247.06 = 1,189 : x
  2. Step 2: Convert to fraction form
    3,497.50/5,247.06 = 1,189/x
  3. Step 3: Cross multiply
    3,497.50x = 5,247.06 × 1,189
  4. Step 4: Simplify right side
    3,497.50x = 6,238,754.34
  5. Step 5: Solve for x
    x = 6,238,754.34/3,497.50
  6. Step 6: Final answer
    x = 1,783.78

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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.