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Finding the Fourth Proportional to 2,733.21, 4,099.88 and 785.40

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Solution

The fourth proportional to 2,733.21, 4,099.88 and 785.40 is: 1,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.21 : 4,099.88 = 785.40 : x
  2. Step 2: Convert to fraction form
    2,733.21/4,099.88 = 785.40/x
  3. Step 3: Cross multiply
    2,733.21x = 4,099.88 × 785.40
  4. Step 4: Simplify right side
    2,733.21x = 3,220,045.75
  5. Step 5: Solve for x
    x = 3,220,045.75/2,733.21
  6. Step 6: Final answer
    x = 1,178.12

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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.