Home / 10,826-16,238.36-2,928.40

Finding the Fourth Proportional to 10,826, 16,238.36 and 2,928.40

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Solution

The fourth proportional to 10,826, 16,238.36 and 2,928.40 is: 4,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 16,238.36 = 2,928.40 : x
  2. Step 2: Convert to fraction form
    10,826/16,238.36 = 2,928.40/x
  3. Step 3: Cross multiply
    10,826x = 16,238.36 × 2,928.40
  4. Step 4: Simplify right side
    10,826x = 47,552,413.42
  5. Step 5: Solve for x
    x = 47,552,413.42/10,826
  6. Step 6: Final answer
    x = 4,392.43

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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.