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Finding the Fourth Proportional to 2,819.39, 4,229.21 and 970.51

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Solution

The fourth proportional to 2,819.39, 4,229.21 and 970.51 is: 1,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.39 : 4,229.21 = 970.51 : x
  2. Step 2: Convert to fraction form
    2,819.39/4,229.21 = 970.51/x
  3. Step 3: Cross multiply
    2,819.39x = 4,229.21 × 970.51
  4. Step 4: Simplify right side
    2,819.39x = 4,104,464.60
  5. Step 5: Solve for x
    x = 4,104,464.60/2,819.39
  6. Step 6: Final answer
    x = 1,455.80

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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.