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Finding the Fourth Proportional to 5,120.88, 7,684.86 and 2,347.86

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Solution

The fourth proportional to 5,120.88, 7,684.86 and 2,347.86 is: 3,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.88 : 7,684.86 = 2,347.86 : x
  2. Step 2: Convert to fraction form
    5,120.88/7,684.86 = 2,347.86/x
  3. Step 3: Cross multiply
    5,120.88x = 7,684.86 × 2,347.86
  4. Step 4: Simplify right side
    5,120.88x = 18,042,975.40
  5. Step 5: Solve for x
    x = 18,042,975.40/5,120.88
  6. Step 6: Final answer
    x = 3,523.41

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1.5x scale

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.