Home / 5,406-8,111.44-3,097.50

Finding the Fourth Proportional to 5,406, 8,111.44 and 3,097.50

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Solution

The fourth proportional to 5,406, 8,111.44 and 3,097.50 is: 4,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,111.44 = 3,097.50 : x
  2. Step 2: Convert to fraction form
    5,406/8,111.44 = 3,097.50/x
  3. Step 3: Cross multiply
    5,406x = 8,111.44 × 3,097.50
  4. Step 4: Simplify right side
    5,406x = 25,125,185.40
  5. Step 5: Solve for x
    x = 25,125,185.40/5,406
  6. Step 6: Final answer
    x = 4,647.65

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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.