Home / 10,072.41-15,106.34-3,830.21

Finding the Fourth Proportional to 10,072.41, 15,106.34 and 3,830.21

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Solution

The fourth proportional to 10,072.41, 15,106.34 and 3,830.21 is: 5,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.41 : 15,106.34 = 3,830.21 : x
  2. Step 2: Convert to fraction form
    10,072.41/15,106.34 = 3,830.21/x
  3. Step 3: Cross multiply
    10,072.41x = 15,106.34 × 3,830.21
  4. Step 4: Simplify right side
    10,072.41x = 57,860,359.85
  5. Step 5: Solve for x
    x = 57,860,359.85/10,072.41
  6. Step 6: Final answer
    x = 5,744.44

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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.