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Finding the Fourth Proportional to 5,215.44, 7,823.42 and 1,319.88

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Solution

The fourth proportional to 5,215.44, 7,823.42 and 1,319.88 is: 1,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.44 : 7,823.42 = 1,319.88 : x
  2. Step 2: Convert to fraction form
    5,215.44/7,823.42 = 1,319.88/x
  3. Step 3: Cross multiply
    5,215.44x = 7,823.42 × 1,319.88
  4. Step 4: Simplify right side
    5,215.44x = 10,325,975.59
  5. Step 5: Solve for x
    x = 10,325,975.59/5,215.44
  6. Step 6: Final answer
    x = 1,979.89

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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.