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Finding the Fourth Proportional to 2,785.74, 3,842.01 and 1,723.02

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Solution

The fourth proportional to 2,785.74, 3,842.01 and 1,723.02 is: 2,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.74 : 3,842.01 = 1,723.02 : x
  2. Step 2: Convert to fraction form
    2,785.74/3,842.01 = 1,723.02/x
  3. Step 3: Cross multiply
    2,785.74x = 3,842.01 × 1,723.02
  4. Step 4: Simplify right side
    2,785.74x = 6,619,860.07
  5. Step 5: Solve for x
    x = 6,619,860.07/2,785.74
  6. Step 6: Final answer
    x = 2,376.34

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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.