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Finding the Fourth Proportional to 2,767.74, 3,819.90 and 1,720.14

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Solution

The fourth proportional to 2,767.74, 3,819.90 and 1,720.14 is: 2,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.74 : 3,819.90 = 1,720.14 : x
  2. Step 2: Convert to fraction form
    2,767.74/3,819.90 = 1,720.14/x
  3. Step 3: Cross multiply
    2,767.74x = 3,819.90 × 1,720.14
  4. Step 4: Simplify right side
    2,767.74x = 6,570,762.79
  5. Step 5: Solve for x
    x = 6,570,762.79/2,767.74
  6. Step 6: Final answer
    x = 2,374.05

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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.