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Finding the Fourth Proportional to 5,478.94, 8,219.40 and 1,583.56

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Solution

The fourth proportional to 5,478.94, 8,219.40 and 1,583.56 is: 2,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.94 : 8,219.40 = 1,583.56 : x
  2. Step 2: Convert to fraction form
    5,478.94/8,219.40 = 1,583.56/x
  3. Step 3: Cross multiply
    5,478.94x = 8,219.40 × 1,583.56
  4. Step 4: Simplify right side
    5,478.94x = 13,015,913.06
  5. Step 5: Solve for x
    x = 13,015,913.06/5,478.94
  6. Step 6: Final answer
    x = 2,375.63

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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.