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Finding the Fourth Proportional to 3,140.44, 4,706.94 and 1,289.44

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Solution

The fourth proportional to 3,140.44, 4,706.94 and 1,289.44 is: 1,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.44 : 4,706.94 = 1,289.44 : x
  2. Step 2: Convert to fraction form
    3,140.44/4,706.94 = 1,289.44/x
  3. Step 3: Cross multiply
    3,140.44x = 4,706.94 × 1,289.44
  4. Step 4: Simplify right side
    3,140.44x = 6,069,316.71
  5. Step 5: Solve for x
    x = 6,069,316.71/3,140.44
  6. Step 6: Final answer
    x = 1,932.63

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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.