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Finding the Fourth Proportional to 13,137.63, 19,706.11 and 3,777.67

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Solution

The fourth proportional to 13,137.63, 19,706.11 and 3,777.67 is: 5,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.63 : 19,706.11 = 3,777.67 : x
  2. Step 2: Convert to fraction form
    13,137.63/19,706.11 = 3,777.67/x
  3. Step 3: Cross multiply
    13,137.63x = 19,706.11 × 3,777.67
  4. Step 4: Simplify right side
    13,137.63x = 74,443,180.56
  5. Step 5: Solve for x
    x = 74,443,180.56/13,137.63
  6. Step 6: Final answer
    x = 5,666.41

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1.5x scale

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.