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Finding the Fourth Proportional to 1,225.48, 1,827.32 and 1,203.64

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Solution

The fourth proportional to 1,225.48, 1,827.32 and 1,203.64 is: 1,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.48 : 1,827.32 = 1,203.64 : x
  2. Step 2: Convert to fraction form
    1,225.48/1,827.32 = 1,203.64/x
  3. Step 3: Cross multiply
    1,225.48x = 1,827.32 × 1,203.64
  4. Step 4: Simplify right side
    1,225.48x = 2,199,435.44
  5. Step 5: Solve for x
    x = 2,199,435.44/1,225.48
  6. Step 6: Final answer
    x = 1,794.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.