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Finding the Fourth Proportional to 12,686.81, 19,032.04 and 3,922.41

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Solution

The fourth proportional to 12,686.81, 19,032.04 and 3,922.41 is: 5,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.81 : 19,032.04 = 3,922.41 : x
  2. Step 2: Convert to fraction form
    12,686.81/19,032.04 = 3,922.41/x
  3. Step 3: Cross multiply
    12,686.81x = 19,032.04 × 3,922.41
  4. Step 4: Simplify right side
    12,686.81x = 74,651,464.02
  5. Step 5: Solve for x
    x = 74,651,464.02/12,686.81
  6. Step 6: Final answer
    x = 5,884.18

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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.