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Finding the Fourth Proportional to 15,378, 22,954.62 and 13,200.72

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Solution

The fourth proportional to 15,378, 22,954.62 and 13,200.72 is: 19,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378 : 22,954.62 = 13,200.72 : x
  2. Step 2: Convert to fraction form
    15,378/22,954.62 = 13,200.72/x
  3. Step 3: Cross multiply
    15,378x = 22,954.62 × 13,200.72
  4. Step 4: Simplify right side
    15,378x = 303,017,511.33
  5. Step 5: Solve for x
    x = 303,017,511.33/15,378
  6. Step 6: Final answer
    x = 19,704.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.