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Finding the Fourth Proportional to 5,168.45, 7,749.80 and 1,881.65

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Solution

The fourth proportional to 5,168.45, 7,749.80 and 1,881.65 is: 2,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.45 : 7,749.80 = 1,881.65 : x
  2. Step 2: Convert to fraction form
    5,168.45/7,749.80 = 1,881.65/x
  3. Step 3: Cross multiply
    5,168.45x = 7,749.80 × 1,881.65
  4. Step 4: Simplify right side
    5,168.45x = 14,582,401.76
  5. Step 5: Solve for x
    x = 14,582,401.76/5,168.45
  6. Step 6: Final answer
    x = 2,821.43

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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.