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Finding the Fourth Proportional to 2,893.78, 4,340.22 and 945.55

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Solution

The fourth proportional to 2,893.78, 4,340.22 and 945.55 is: 1,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.78 : 4,340.22 = 945.55 : x
  2. Step 2: Convert to fraction form
    2,893.78/4,340.22 = 945.55/x
  3. Step 3: Cross multiply
    2,893.78x = 4,340.22 × 945.55
  4. Step 4: Simplify right side
    2,893.78x = 4,103,895.02
  5. Step 5: Solve for x
    x = 4,103,895.02/2,893.78
  6. Step 6: Final answer
    x = 1,418.18

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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.