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Finding the Fourth Proportional to 3,211.89, 4,818 and 903.57

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Solution

The fourth proportional to 3,211.89, 4,818 and 903.57 is: 1,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.89 : 4,818 = 903.57 : x
  2. Step 2: Convert to fraction form
    3,211.89/4,818 = 903.57/x
  3. Step 3: Cross multiply
    3,211.89x = 4,818 × 903.57
  4. Step 4: Simplify right side
    3,211.89x = 4,353,400.26
  5. Step 5: Solve for x
    x = 4,353,400.26/3,211.89
  6. Step 6: Final answer
    x = 1,355.40

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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.