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Finding the Fourth Proportional to 2,782.79, 3,819.79 and 2,461.01

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Solution

The fourth proportional to 2,782.79, 3,819.79 and 2,461.01 is: 3,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.79 : 3,819.79 = 2,461.01 : x
  2. Step 2: Convert to fraction form
    2,782.79/3,819.79 = 2,461.01/x
  3. Step 3: Cross multiply
    2,782.79x = 3,819.79 × 2,461.01
  4. Step 4: Simplify right side
    2,782.79x = 9,400,516.14
  5. Step 5: Solve for x
    x = 9,400,516.14/2,782.79
  6. Step 6: Final answer
    x = 3,378.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.