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Finding the Fourth Proportional to 12,675.93, 19,015 and 3,315.91

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Solution

The fourth proportional to 12,675.93, 19,015 and 3,315.91 is: 4,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.93 : 19,015 = 3,315.91 : x
  2. Step 2: Convert to fraction form
    12,675.93/19,015 = 3,315.91/x
  3. Step 3: Cross multiply
    12,675.93x = 19,015 × 3,315.91
  4. Step 4: Simplify right side
    12,675.93x = 63,052,028.65
  5. Step 5: Solve for x
    x = 63,052,028.65/12,675.93
  6. Step 6: Final answer
    x = 4,974.15

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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.