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Finding the Fourth Proportional to 5,539.44, 8,310 and 1,643.36

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Solution

The fourth proportional to 5,539.44, 8,310 and 1,643.36 is: 2,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.44 : 8,310 = 1,643.36 : x
  2. Step 2: Convert to fraction form
    5,539.44/8,310 = 1,643.36/x
  3. Step 3: Cross multiply
    5,539.44x = 8,310 × 1,643.36
  4. Step 4: Simplify right side
    5,539.44x = 13,656,321.60
  5. Step 5: Solve for x
    x = 13,656,321.60/5,539.44
  6. Step 6: Final answer
    x = 2,465.29

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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.