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Finding the Fourth Proportional to 3,755.94, 5,178.47 and 2,409.17

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Solution

The fourth proportional to 3,755.94, 5,178.47 and 2,409.17 is: 3,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.94 : 5,178.47 = 2,409.17 : x
  2. Step 2: Convert to fraction form
    3,755.94/5,178.47 = 2,409.17/x
  3. Step 3: Cross multiply
    3,755.94x = 5,178.47 × 2,409.17
  4. Step 4: Simplify right side
    3,755.94x = 12,475,811.52
  5. Step 5: Solve for x
    x = 12,475,811.52/3,755.94
  6. Step 6: Final answer
    x = 3,321.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.