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Finding the Fourth Proportional to 2,079.11, 3,117.76 and 779.67

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Solution

The fourth proportional to 2,079.11, 3,117.76 and 779.67 is: 1,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.11 : 3,117.76 = 779.67 : x
  2. Step 2: Convert to fraction form
    2,079.11/3,117.76 = 779.67/x
  3. Step 3: Cross multiply
    2,079.11x = 3,117.76 × 779.67
  4. Step 4: Simplify right side
    2,079.11x = 2,430,830.03
  5. Step 5: Solve for x
    x = 2,430,830.03/2,079.11
  6. Step 6: Final answer
    x = 1,169.17

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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.