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Finding the Fourth Proportional to 2,070.66, 3,106.14 and 683.64

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Solution

The fourth proportional to 2,070.66, 3,106.14 and 683.64 is: 1,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.66 : 3,106.14 = 683.64 : x
  2. Step 2: Convert to fraction form
    2,070.66/3,106.14 = 683.64/x
  3. Step 3: Cross multiply
    2,070.66x = 3,106.14 × 683.64
  4. Step 4: Simplify right side
    2,070.66x = 2,123,481.55
  5. Step 5: Solve for x
    x = 2,123,481.55/2,070.66
  6. Step 6: Final answer
    x = 1,025.51

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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.