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Finding the Fourth Proportional to 6,140.84, 9,212.18 and 3,137.22

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Solution

The fourth proportional to 6,140.84, 9,212.18 and 3,137.22 is: 4,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.84 : 9,212.18 = 3,137.22 : x
  2. Step 2: Convert to fraction form
    6,140.84/9,212.18 = 3,137.22/x
  3. Step 3: Cross multiply
    6,140.84x = 9,212.18 × 3,137.22
  4. Step 4: Simplify right side
    6,140.84x = 28,900,619.65
  5. Step 5: Solve for x
    x = 28,900,619.65/6,140.84
  6. Step 6: Final answer
    x = 4,706.30

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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.