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Finding the Fourth Proportional to 3,454.97, 4,768.97 and 2,038.63

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Solution

The fourth proportional to 3,454.97, 4,768.97 and 2,038.63 is: 2,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.97 : 4,768.97 = 2,038.63 : x
  2. Step 2: Convert to fraction form
    3,454.97/4,768.97 = 2,038.63/x
  3. Step 3: Cross multiply
    3,454.97x = 4,768.97 × 2,038.63
  4. Step 4: Simplify right side
    3,454.97x = 9,722,165.31
  5. Step 5: Solve for x
    x = 9,722,165.31/3,454.97
  6. Step 6: Final answer
    x = 2,813.97

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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.