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Finding the Fourth Proportional to 1,238.71, 1,858.02 and 1,207.72

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Solution

The fourth proportional to 1,238.71, 1,858.02 and 1,207.72 is: 1,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.71 : 1,858.02 = 1,207.72 : x
  2. Step 2: Convert to fraction form
    1,238.71/1,858.02 = 1,207.72/x
  3. Step 3: Cross multiply
    1,238.71x = 1,858.02 × 1,207.72
  4. Step 4: Simplify right side
    1,238.71x = 2,243,967.91
  5. Step 5: Solve for x
    x = 2,243,967.91/1,238.71
  6. Step 6: Final answer
    x = 1,811.54

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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.