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Finding the Fourth Proportional to 5,722.80, 7,889.72 and 4,892.43

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Solution

The fourth proportional to 5,722.80, 7,889.72 and 4,892.43 is: 6,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.80 : 7,889.72 = 4,892.43 : x
  2. Step 2: Convert to fraction form
    5,722.80/7,889.72 = 4,892.43/x
  3. Step 3: Cross multiply
    5,722.80x = 7,889.72 × 4,892.43
  4. Step 4: Simplify right side
    5,722.80x = 38,599,848.25
  5. Step 5: Solve for x
    x = 38,599,848.25/5,722.80
  6. Step 6: Final answer
    x = 6,744.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.