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Finding the Fourth Proportional to 2,733.46, 4,099.78 and 785.41

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Solution

The fourth proportional to 2,733.46, 4,099.78 and 785.41 is: 1,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.46 : 4,099.78 = 785.41 : x
  2. Step 2: Convert to fraction form
    2,733.46/4,099.78 = 785.41/x
  3. Step 3: Cross multiply
    2,733.46x = 4,099.78 × 785.41
  4. Step 4: Simplify right side
    2,733.46x = 3,220,022.00
  5. Step 5: Solve for x
    x = 3,220,022.00/2,733.46
  6. Step 6: Final answer
    x = 1,178.00

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1.5x scale

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.