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Finding the Fourth Proportional to 2,412.84, 3,615.54 and 1,793.64

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Solution

The fourth proportional to 2,412.84, 3,615.54 and 1,793.64 is: 2,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.84 : 3,615.54 = 1,793.64 : x
  2. Step 2: Convert to fraction form
    2,412.84/3,615.54 = 1,793.64/x
  3. Step 3: Cross multiply
    2,412.84x = 3,615.54 × 1,793.64
  4. Step 4: Simplify right side
    2,412.84x = 6,484,977.17
  5. Step 5: Solve for x
    x = 6,484,977.17/2,412.84
  6. Step 6: Final answer
    x = 2,687.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.