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Finding the Fourth Proportional to 2,078.69, 3,118.95 and 982.76

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Solution

The fourth proportional to 2,078.69, 3,118.95 and 982.76 is: 1,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.69 : 3,118.95 = 982.76 : x
  2. Step 2: Convert to fraction form
    2,078.69/3,118.95 = 982.76/x
  3. Step 3: Cross multiply
    2,078.69x = 3,118.95 × 982.76
  4. Step 4: Simplify right side
    2,078.69x = 3,065,163.71
  5. Step 5: Solve for x
    x = 3,065,163.71/2,078.69
  6. Step 6: Final answer
    x = 1,474.57

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1.5x scale

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.