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Finding the Fourth Proportional to 2,274.94, 3,412.41 and 814.51

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Solution

The fourth proportional to 2,274.94, 3,412.41 and 814.51 is: 1,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,412.41 = 814.51 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,412.41 = 814.51/x
  3. Step 3: Cross multiply
    2,274.94x = 3,412.41 × 814.51
  4. Step 4: Simplify right side
    2,274.94x = 2,779,442.07
  5. Step 5: Solve for x
    x = 2,779,442.07/2,274.94
  6. Step 6: Final answer
    x = 1,221.77

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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.