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Finding the Fourth Proportional to 5,853.50, 8,783.70 and 2,158.31

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Solution

The fourth proportional to 5,853.50, 8,783.70 and 2,158.31 is: 3,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.50 : 8,783.70 = 2,158.31 : x
  2. Step 2: Convert to fraction form
    5,853.50/8,783.70 = 2,158.31/x
  3. Step 3: Cross multiply
    5,853.50x = 8,783.70 × 2,158.31
  4. Step 4: Simplify right side
    5,853.50x = 18,957,903.63
  5. Step 5: Solve for x
    x = 18,957,903.63/5,853.50
  6. Step 6: Final answer
    x = 3,238.73

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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.