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Finding the Fourth Proportional to 9,137.08, 13,706.34 and 4,519

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Solution

The fourth proportional to 9,137.08, 13,706.34 and 4,519 is: 6,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.08 : 13,706.34 = 4,519 : x
  2. Step 2: Convert to fraction form
    9,137.08/13,706.34 = 4,519/x
  3. Step 3: Cross multiply
    9,137.08x = 13,706.34 × 4,519
  4. Step 4: Simplify right side
    9,137.08x = 61,938,950.46
  5. Step 5: Solve for x
    x = 61,938,950.46/9,137.08
  6. Step 6: Final answer
    x = 6,778.86

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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.