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Finding the Fourth Proportional to 2,708.56, 4,064.90 and 1,783.80

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Solution

The fourth proportional to 2,708.56, 4,064.90 and 1,783.80 is: 2,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.56 : 4,064.90 = 1,783.80 : x
  2. Step 2: Convert to fraction form
    2,708.56/4,064.90 = 1,783.80/x
  3. Step 3: Cross multiply
    2,708.56x = 4,064.90 × 1,783.80
  4. Step 4: Simplify right side
    2,708.56x = 7,250,968.62
  5. Step 5: Solve for x
    x = 7,250,968.62/2,708.56
  6. Step 6: Final answer
    x = 2,677.06

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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.