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Finding the Fourth Proportional to 5,280.83, 7,922.39 and 1,583.39

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Solution

The fourth proportional to 5,280.83, 7,922.39 and 1,583.39 is: 2,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.83 : 7,922.39 = 1,583.39 : x
  2. Step 2: Convert to fraction form
    5,280.83/7,922.39 = 1,583.39/x
  3. Step 3: Cross multiply
    5,280.83x = 7,922.39 × 1,583.39
  4. Step 4: Simplify right side
    5,280.83x = 12,544,233.10
  5. Step 5: Solve for x
    x = 12,544,233.10/5,280.83
  6. Step 6: Final answer
    x = 2,375.43

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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.