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Finding the Fourth Proportional to 1,319.44, 1,819.92 and 969.52

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Solution

The fourth proportional to 1,319.44, 1,819.92 and 969.52 is: 1,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.44 : 1,819.92 = 969.52 : x
  2. Step 2: Convert to fraction form
    1,319.44/1,819.92 = 969.52/x
  3. Step 3: Cross multiply
    1,319.44x = 1,819.92 × 969.52
  4. Step 4: Simplify right side
    1,319.44x = 1,764,448.84
  5. Step 5: Solve for x
    x = 1,764,448.84/1,319.44
  6. Step 6: Final answer
    x = 1,337.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.