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Finding the Fourth Proportional to 12,682, 19,022.64 and 3,915.64

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Solution

The fourth proportional to 12,682, 19,022.64 and 3,915.64 is: 5,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682 : 19,022.64 = 3,915.64 : x
  2. Step 2: Convert to fraction form
    12,682/19,022.64 = 3,915.64/x
  3. Step 3: Cross multiply
    12,682x = 19,022.64 × 3,915.64
  4. Step 4: Simplify right side
    12,682x = 74,485,810.09
  5. Step 5: Solve for x
    x = 74,485,810.09/12,682
  6. Step 6: Final answer
    x = 5,873.35

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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.