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Finding the Fourth Proportional to 2,340, 3,508.84 and 779.46

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Solution

The fourth proportional to 2,340, 3,508.84 and 779.46 is: 1,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340 : 3,508.84 = 779.46 : x
  2. Step 2: Convert to fraction form
    2,340/3,508.84 = 779.46/x
  3. Step 3: Cross multiply
    2,340x = 3,508.84 × 779.46
  4. Step 4: Simplify right side
    2,340x = 2,735,000.43
  5. Step 5: Solve for x
    x = 2,735,000.43/2,340
  6. Step 6: Final answer
    x = 1,168.80

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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.