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Finding the Fourth Proportional to 2,819.04, 4,228.86 and 969.92

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Solution

The fourth proportional to 2,819.04, 4,228.86 and 969.92 is: 1,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.04 : 4,228.86 = 969.92 : x
  2. Step 2: Convert to fraction form
    2,819.04/4,228.86 = 969.92/x
  3. Step 3: Cross multiply
    2,819.04x = 4,228.86 × 969.92
  4. Step 4: Simplify right side
    2,819.04x = 4,101,634.75
  5. Step 5: Solve for x
    x = 4,101,634.75/2,819.04
  6. Step 6: Final answer
    x = 1,454.98

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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.