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Finding the Fourth Proportional to 2,801.86, 4,195.19 and 1,978.09

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Solution

The fourth proportional to 2,801.86, 4,195.19 and 1,978.09 is: 2,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.86 : 4,195.19 = 1,978.09 : x
  2. Step 2: Convert to fraction form
    2,801.86/4,195.19 = 1,978.09/x
  3. Step 3: Cross multiply
    2,801.86x = 4,195.19 × 1,978.09
  4. Step 4: Simplify right side
    2,801.86x = 8,298,457.84
  5. Step 5: Solve for x
    x = 8,298,457.84/2,801.86
  6. Step 6: Final answer
    x = 2,961.77

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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.