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Finding the Fourth Proportional to 8,464.31, 12,696.47 and 2,308.31

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Solution

The fourth proportional to 8,464.31, 12,696.47 and 2,308.31 is: 3,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.31 : 12,696.47 = 2,308.31 : x
  2. Step 2: Convert to fraction form
    8,464.31/12,696.47 = 2,308.31/x
  3. Step 3: Cross multiply
    8,464.31x = 12,696.47 × 2,308.31
  4. Step 4: Simplify right side
    8,464.31x = 29,307,388.67
  5. Step 5: Solve for x
    x = 29,307,388.67/8,464.31
  6. Step 6: Final answer
    x = 3,462.47

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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.