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Finding the Fourth Proportional to 5,643.54, 7,788.49 and 3,405.29

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Solution

The fourth proportional to 5,643.54, 7,788.49 and 3,405.29 is: 4,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.54 : 7,788.49 = 3,405.29 : x
  2. Step 2: Convert to fraction form
    5,643.54/7,788.49 = 3,405.29/x
  3. Step 3: Cross multiply
    5,643.54x = 7,788.49 × 3,405.29
  4. Step 4: Simplify right side
    5,643.54x = 26,522,063.47
  5. Step 5: Solve for x
    x = 26,522,063.47/5,643.54
  6. Step 6: Final answer
    x = 4,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.