Home / 7,822.30-11,735.42-2,275.50

Finding the Fourth Proportional to 7,822.30, 11,735.42 and 2,275.50

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Solution

The fourth proportional to 7,822.30, 11,735.42 and 2,275.50 is: 3,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.30 : 11,735.42 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    7,822.30/11,735.42 = 2,275.50/x
  3. Step 3: Cross multiply
    7,822.30x = 11,735.42 × 2,275.50
  4. Step 4: Simplify right side
    7,822.30x = 26,703,948.21
  5. Step 5: Solve for x
    x = 26,703,948.21/7,822.30
  6. Step 6: Final answer
    x = 3,413.82

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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.