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Finding the Fourth Proportional to 2,733.19, 4,099.83 and 785.41

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Solution

The fourth proportional to 2,733.19, 4,099.83 and 785.41 is: 1,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.19 : 4,099.83 = 785.41 : x
  2. Step 2: Convert to fraction form
    2,733.19/4,099.83 = 785.41/x
  3. Step 3: Cross multiply
    2,733.19x = 4,099.83 × 785.41
  4. Step 4: Simplify right side
    2,733.19x = 3,220,047.48
  5. Step 5: Solve for x
    x = 3,220,047.48/2,733.19
  6. Step 6: Final answer
    x = 1,178.13

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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.