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Finding the Fourth Proportional to 1,867.79, 2,576.79 and 1,205.01

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Solution

The fourth proportional to 1,867.79, 2,576.79 and 1,205.01 is: 1,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.79 : 2,576.79 = 1,205.01 : x
  2. Step 2: Convert to fraction form
    1,867.79/2,576.79 = 1,205.01/x
  3. Step 3: Cross multiply
    1,867.79x = 2,576.79 × 1,205.01
  4. Step 4: Simplify right side
    1,867.79x = 3,105,057.72
  5. Step 5: Solve for x
    x = 3,105,057.72/1,867.79
  6. Step 6: Final answer
    x = 1,662.43

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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.