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Finding the Fourth Proportional to 2,305.34, 3,454.76 and 1,728.62

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Solution

The fourth proportional to 2,305.34, 3,454.76 and 1,728.62 is: 2,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.34 : 3,454.76 = 1,728.62 : x
  2. Step 2: Convert to fraction form
    2,305.34/3,454.76 = 1,728.62/x
  3. Step 3: Cross multiply
    2,305.34x = 3,454.76 × 1,728.62
  4. Step 4: Simplify right side
    2,305.34x = 5,971,954.28
  5. Step 5: Solve for x
    x = 5,971,954.28/2,305.34
  6. Step 6: Final answer
    x = 2,590.49

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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.