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Finding the Fourth Proportional to 4,740, 7,106.97 and 1,968.59

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Solution

The fourth proportional to 4,740, 7,106.97 and 1,968.59 is: 2,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 7,106.97 = 1,968.59 : x
  2. Step 2: Convert to fraction form
    4,740/7,106.97 = 1,968.59/x
  3. Step 3: Cross multiply
    4,740x = 7,106.97 × 1,968.59
  4. Step 4: Simplify right side
    4,740x = 13,990,674.54
  5. Step 5: Solve for x
    x = 13,990,674.54/4,740
  6. Step 6: Final answer
    x = 2,951.62

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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.