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Finding the Fourth Proportional to 5,708.72, 8,559.84 and 2,783.36

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Solution

The fourth proportional to 5,708.72, 8,559.84 and 2,783.36 is: 4,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.72 : 8,559.84 = 2,783.36 : x
  2. Step 2: Convert to fraction form
    5,708.72/8,559.84 = 2,783.36/x
  3. Step 3: Cross multiply
    5,708.72x = 8,559.84 × 2,783.36
  4. Step 4: Simplify right side
    5,708.72x = 23,825,116.26
  5. Step 5: Solve for x
    x = 23,825,116.26/5,708.72
  6. Step 6: Final answer
    x = 4,173.46

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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.