Home / 6,997.28-10,413.36-6,764

Finding the Fourth Proportional to 6,997.28, 10,413.36 and 6,764

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Solution

The fourth proportional to 6,997.28, 10,413.36 and 6,764 is: 10,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.28 : 10,413.36 = 6,764 : x
  2. Step 2: Convert to fraction form
    6,997.28/10,413.36 = 6,764/x
  3. Step 3: Cross multiply
    6,997.28x = 10,413.36 × 6,764
  4. Step 4: Simplify right side
    6,997.28x = 70,435,967.04
  5. Step 5: Solve for x
    x = 70,435,967.04/6,997.28
  6. Step 6: Final answer
    x = 10,066.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.