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Finding the Fourth Proportional to 2,308.66, 3,464 and 1,212.77

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Solution

The fourth proportional to 2,308.66, 3,464 and 1,212.77 is: 1,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.66 : 3,464 = 1,212.77 : x
  2. Step 2: Convert to fraction form
    2,308.66/3,464 = 1,212.77/x
  3. Step 3: Cross multiply
    2,308.66x = 3,464 × 1,212.77
  4. Step 4: Simplify right side
    2,308.66x = 4,201,035.28
  5. Step 5: Solve for x
    x = 4,201,035.28/2,308.66
  6. Step 6: Final answer
    x = 1,819.69

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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.