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Finding the Fourth Proportional to 1,979.86, 2,732.16 and 1,095.68

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Solution

The fourth proportional to 1,979.86, 2,732.16 and 1,095.68 is: 1,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.86 : 2,732.16 = 1,095.68 : x
  2. Step 2: Convert to fraction form
    1,979.86/2,732.16 = 1,095.68/x
  3. Step 3: Cross multiply
    1,979.86x = 2,732.16 × 1,095.68
  4. Step 4: Simplify right side
    1,979.86x = 2,993,573.07
  5. Step 5: Solve for x
    x = 2,993,573.07/1,979.86
  6. Step 6: Final answer
    x = 1,512.01

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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.