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Finding the Fourth Proportional to 12,830, 19,245.74 and 3,596.72

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Solution

The fourth proportional to 12,830, 19,245.74 and 3,596.72 is: 5,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830 : 19,245.74 = 3,596.72 : x
  2. Step 2: Convert to fraction form
    12,830/19,245.74 = 3,596.72/x
  3. Step 3: Cross multiply
    12,830x = 19,245.74 × 3,596.72
  4. Step 4: Simplify right side
    12,830x = 69,221,537.97
  5. Step 5: Solve for x
    x = 69,221,537.97/12,830
  6. Step 6: Final answer
    x = 5,395.29

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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.