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Finding the Fourth Proportional to 3,945, 5,444.46 and 2,266.92

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Solution

The fourth proportional to 3,945, 5,444.46 and 2,266.92 is: 3,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945 : 5,444.46 = 2,266.92 : x
  2. Step 2: Convert to fraction form
    3,945/5,444.46 = 2,266.92/x
  3. Step 3: Cross multiply
    3,945x = 5,444.46 × 2,266.92
  4. Step 4: Simplify right side
    3,945x = 12,342,155.26
  5. Step 5: Solve for x
    x = 12,342,155.26/3,945
  6. Step 6: Final answer
    x = 3,128.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.