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Finding the Fourth Proportional to 2,813.07, 4,219.22 and 732.91

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Solution

The fourth proportional to 2,813.07, 4,219.22 and 732.91 is: 1,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.07 : 4,219.22 = 732.91 : x
  2. Step 2: Convert to fraction form
    2,813.07/4,219.22 = 732.91/x
  3. Step 3: Cross multiply
    2,813.07x = 4,219.22 × 732.91
  4. Step 4: Simplify right side
    2,813.07x = 3,092,294.89
  5. Step 5: Solve for x
    x = 3,092,294.89/2,813.07
  6. Step 6: Final answer
    x = 1,099.26

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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.