Home / 5,790-7,985.58-3,745.20

Finding the Fourth Proportional to 5,790, 7,985.58 and 3,745.20

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Solution

The fourth proportional to 5,790, 7,985.58 and 3,745.20 is: 5,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 7,985.58 = 3,745.20 : x
  2. Step 2: Convert to fraction form
    5,790/7,985.58 = 3,745.20/x
  3. Step 3: Cross multiply
    5,790x = 7,985.58 × 3,745.20
  4. Step 4: Simplify right side
    5,790x = 29,907,594.22
  5. Step 5: Solve for x
    x = 29,907,594.22/5,790
  6. Step 6: Final answer
    x = 5,165.39

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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.