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Finding the Fourth Proportional to 3,212.34, 4,819.29 and 903.84

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Solution

The fourth proportional to 3,212.34, 4,819.29 and 903.84 is: 1,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.34 : 4,819.29 = 903.84 : x
  2. Step 2: Convert to fraction form
    3,212.34/4,819.29 = 903.84/x
  3. Step 3: Cross multiply
    3,212.34x = 4,819.29 × 903.84
  4. Step 4: Simplify right side
    3,212.34x = 4,355,867.07
  5. Step 5: Solve for x
    x = 4,355,867.07/3,212.34
  6. Step 6: Final answer
    x = 1,355.98

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1.5x scale

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.