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Finding the Fourth Proportional to 2,740.38, 3,780.74 and 1,746.12

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Solution

The fourth proportional to 2,740.38, 3,780.74 and 1,746.12 is: 2,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.38 : 3,780.74 = 1,746.12 : x
  2. Step 2: Convert to fraction form
    2,740.38/3,780.74 = 1,746.12/x
  3. Step 3: Cross multiply
    2,740.38x = 3,780.74 × 1,746.12
  4. Step 4: Simplify right side
    2,740.38x = 6,601,625.73
  5. Step 5: Solve for x
    x = 6,601,625.73/2,740.38
  6. Step 6: Final answer
    x = 2,409.02

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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.