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Finding the Fourth Proportional to 2,739.31, 3,781.74 and 1,783.40

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Solution

The fourth proportional to 2,739.31, 3,781.74 and 1,783.40 is: 2,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.31 : 3,781.74 = 1,783.40 : x
  2. Step 2: Convert to fraction form
    2,739.31/3,781.74 = 1,783.40/x
  3. Step 3: Cross multiply
    2,739.31x = 3,781.74 × 1,783.40
  4. Step 4: Simplify right side
    2,739.31x = 6,744,355.12
  5. Step 5: Solve for x
    x = 6,744,355.12/2,739.31
  6. Step 6: Final answer
    x = 2,462.06

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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.