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Finding the Fourth Proportional to 2,684.88, 4,027.32 and 1,223

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Solution

The fourth proportional to 2,684.88, 4,027.32 and 1,223 is: 1,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 4,027.32 = 1,223 : x
  2. Step 2: Convert to fraction form
    2,684.88/4,027.32 = 1,223/x
  3. Step 3: Cross multiply
    2,684.88x = 4,027.32 × 1,223
  4. Step 4: Simplify right side
    2,684.88x = 4,925,412.36
  5. Step 5: Solve for x
    x = 4,925,412.36/2,684.88
  6. Step 6: Final answer
    x = 1,834.50

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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.