Home / 6,289.20-9,434-1,609.24

Finding the Fourth Proportional to 6,289.20, 9,434 and 1,609.24

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Solution

The fourth proportional to 6,289.20, 9,434 and 1,609.24 is: 2,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.20 : 9,434 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    6,289.20/9,434 = 1,609.24/x
  3. Step 3: Cross multiply
    6,289.20x = 9,434 × 1,609.24
  4. Step 4: Simplify right side
    6,289.20x = 15,181,570.16
  5. Step 5: Solve for x
    x = 15,181,570.16/6,289.20
  6. Step 6: Final answer
    x = 2,413.91

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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.