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Finding the Fourth Proportional to 3,569.54, 5,355.86 and 1,379.82

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Solution

The fourth proportional to 3,569.54, 5,355.86 and 1,379.82 is: 2,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.54 : 5,355.86 = 1,379.82 : x
  2. Step 2: Convert to fraction form
    3,569.54/5,355.86 = 1,379.82/x
  3. Step 3: Cross multiply
    3,569.54x = 5,355.86 × 1,379.82
  4. Step 4: Simplify right side
    3,569.54x = 7,390,122.75
  5. Step 5: Solve for x
    x = 7,390,122.75/3,569.54
  6. Step 6: Final answer
    x = 2,070.33

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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.