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Finding the Fourth Proportional to 12,689.90, 19,028.92 and 4,786.32

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Solution

The fourth proportional to 12,689.90, 19,028.92 and 4,786.32 is: 7,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.90 : 19,028.92 = 4,786.32 : x
  2. Step 2: Convert to fraction form
    12,689.90/19,028.92 = 4,786.32/x
  3. Step 3: Cross multiply
    12,689.90x = 19,028.92 × 4,786.32
  4. Step 4: Simplify right side
    12,689.90x = 91,078,559.91
  5. Step 5: Solve for x
    x = 91,078,559.91/12,689.90
  6. Step 6: Final answer
    x = 7,177.25

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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.