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Finding the Fourth Proportional to 5,346.78, 8,023.19 and 2,881.54

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Solution

The fourth proportional to 5,346.78, 8,023.19 and 2,881.54 is: 4,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.78 : 8,023.19 = 2,881.54 : x
  2. Step 2: Convert to fraction form
    5,346.78/8,023.19 = 2,881.54/x
  3. Step 3: Cross multiply
    5,346.78x = 8,023.19 × 2,881.54
  4. Step 4: Simplify right side
    5,346.78x = 23,119,142.91
  5. Step 5: Solve for x
    x = 23,119,142.91/5,346.78
  6. Step 6: Final answer
    x = 4,323.94

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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.