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Finding the Fourth Proportional to 2,081.52, 2,873.65 and 1,419.34

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Solution

The fourth proportional to 2,081.52, 2,873.65 and 1,419.34 is: 1,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.52 : 2,873.65 = 1,419.34 : x
  2. Step 2: Convert to fraction form
    2,081.52/2,873.65 = 1,419.34/x
  3. Step 3: Cross multiply
    2,081.52x = 2,873.65 × 1,419.34
  4. Step 4: Simplify right side
    2,081.52x = 4,078,686.39
  5. Step 5: Solve for x
    x = 4,078,686.39/2,081.52
  6. Step 6: Final answer
    x = 1,959.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.