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Finding the Fourth Proportional to 3,092.22, 4,638.33 and 900.90

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Solution

The fourth proportional to 3,092.22, 4,638.33 and 900.90 is: 1,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.22 : 4,638.33 = 900.90 : x
  2. Step 2: Convert to fraction form
    3,092.22/4,638.33 = 900.90/x
  3. Step 3: Cross multiply
    3,092.22x = 4,638.33 × 900.90
  4. Step 4: Simplify right side
    3,092.22x = 4,178,671.50
  5. Step 5: Solve for x
    x = 4,178,671.50/3,092.22
  6. Step 6: Final answer
    x = 1,351.35

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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.