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Finding the Fourth Proportional to 2,808.71, 4,214.47 and 1,349.09

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Solution

The fourth proportional to 2,808.71, 4,214.47 and 1,349.09 is: 2,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.71 : 4,214.47 = 1,349.09 : x
  2. Step 2: Convert to fraction form
    2,808.71/4,214.47 = 1,349.09/x
  3. Step 3: Cross multiply
    2,808.71x = 4,214.47 × 1,349.09
  4. Step 4: Simplify right side
    2,808.71x = 5,685,678.26
  5. Step 5: Solve for x
    x = 5,685,678.26/2,808.71
  6. Step 6: Final answer
    x = 2,024.31

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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.