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Finding the Fourth Proportional to 3,212.89, 4,819.50 and 904.57

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Solution

The fourth proportional to 3,212.89, 4,819.50 and 904.57 is: 1,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.89 : 4,819.50 = 904.57 : x
  2. Step 2: Convert to fraction form
    3,212.89/4,819.50 = 904.57/x
  3. Step 3: Cross multiply
    3,212.89x = 4,819.50 × 904.57
  4. Step 4: Simplify right side
    3,212.89x = 4,359,575.12
  5. Step 5: Solve for x
    x = 4,359,575.12/3,212.89
  6. Step 6: Final answer
    x = 1,356.90

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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.