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Finding the Fourth Proportional to 5,219.28, 7,828.90 and 1,323.68

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Solution

The fourth proportional to 5,219.28, 7,828.90 and 1,323.68 is: 1,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.28 : 7,828.90 = 1,323.68 : x
  2. Step 2: Convert to fraction form
    5,219.28/7,828.90 = 1,323.68/x
  3. Step 3: Cross multiply
    5,219.28x = 7,828.90 × 1,323.68
  4. Step 4: Simplify right side
    5,219.28x = 10,362,958.35
  5. Step 5: Solve for x
    x = 10,362,958.35/5,219.28
  6. Step 6: Final answer
    x = 1,985.51

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Similar ratio
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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.