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Finding the Fourth Proportional to 2,742, 3,783.90 and 1,680.18

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Solution

The fourth proportional to 2,742, 3,783.90 and 1,680.18 is: 2,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742 : 3,783.90 = 1,680.18 : x
  2. Step 2: Convert to fraction form
    2,742/3,783.90 = 1,680.18/x
  3. Step 3: Cross multiply
    2,742x = 3,783.90 × 1,680.18
  4. Step 4: Simplify right side
    2,742x = 6,357,633.10
  5. Step 5: Solve for x
    x = 6,357,633.10/2,742
  6. Step 6: Final answer
    x = 2,318.61

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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.