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Finding the Fourth Proportional to 4,771.54, 7,159.32 and 2,581.78

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Solution

The fourth proportional to 4,771.54, 7,159.32 and 2,581.78 is: 3,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.54 : 7,159.32 = 2,581.78 : x
  2. Step 2: Convert to fraction form
    4,771.54/7,159.32 = 2,581.78/x
  3. Step 3: Cross multiply
    4,771.54x = 7,159.32 × 2,581.78
  4. Step 4: Simplify right side
    4,771.54x = 18,483,789.19
  5. Step 5: Solve for x
    x = 18,483,789.19/4,771.54
  6. Step 6: Final answer
    x = 3,873.76

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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.