Home / 2,820.75-4,231.06-973.14

Finding the Fourth Proportional to 2,820.75, 4,231.06 and 973.14

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Solution

The fourth proportional to 2,820.75, 4,231.06 and 973.14 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.75 : 4,231.06 = 973.14 : x
  2. Step 2: Convert to fraction form
    2,820.75/4,231.06 = 973.14/x
  3. Step 3: Cross multiply
    2,820.75x = 4,231.06 × 973.14
  4. Step 4: Simplify right side
    2,820.75x = 4,117,413.73
  5. Step 5: Solve for x
    x = 4,117,413.73/2,820.75
  6. Step 6: Final answer
    x = 1,459.69

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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.