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Finding the Fourth Proportional to 6,259, 9,391.74 and 3,181

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Solution

The fourth proportional to 6,259, 9,391.74 and 3,181 is: 4,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259 : 9,391.74 = 3,181 : x
  2. Step 2: Convert to fraction form
    6,259/9,391.74 = 3,181/x
  3. Step 3: Cross multiply
    6,259x = 9,391.74 × 3,181
  4. Step 4: Simplify right side
    6,259x = 29,875,124.94
  5. Step 5: Solve for x
    x = 29,875,124.94/6,259
  6. Step 6: Final answer
    x = 4,773.15

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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.