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Finding the Fourth Proportional to 2,378.63, 3,282.12 and 1,493.81

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Solution

The fourth proportional to 2,378.63, 3,282.12 and 1,493.81 is: 2,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.63 : 3,282.12 = 1,493.81 : x
  2. Step 2: Convert to fraction form
    2,378.63/3,282.12 = 1,493.81/x
  3. Step 3: Cross multiply
    2,378.63x = 3,282.12 × 1,493.81
  4. Step 4: Simplify right side
    2,378.63x = 4,902,865.18
  5. Step 5: Solve for x
    x = 4,902,865.18/2,378.63
  6. Step 6: Final answer
    x = 2,061.21

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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.