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Finding the Fourth Proportional to 1,238.16, 1,854.49 and 847.23

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Solution

The fourth proportional to 1,238.16, 1,854.49 and 847.23 is: 1,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.16 : 1,854.49 = 847.23 : x
  2. Step 2: Convert to fraction form
    1,238.16/1,854.49 = 847.23/x
  3. Step 3: Cross multiply
    1,238.16x = 1,854.49 × 847.23
  4. Step 4: Simplify right side
    1,238.16x = 1,571,179.56
  5. Step 5: Solve for x
    x = 1,571,179.56/1,238.16
  6. Step 6: Final answer
    x = 1,268.96

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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.