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Finding the Fourth Proportional to 2,798.84, 3,865.11 and 2,099

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Solution

The fourth proportional to 2,798.84, 3,865.11 and 2,099 is: 2,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.84 : 3,865.11 = 2,099 : x
  2. Step 2: Convert to fraction form
    2,798.84/3,865.11 = 2,099/x
  3. Step 3: Cross multiply
    2,798.84x = 3,865.11 × 2,099
  4. Step 4: Simplify right side
    2,798.84x = 8,112,865.89
  5. Step 5: Solve for x
    x = 8,112,865.89/2,798.84
  6. Step 6: Final answer
    x = 2,898.65

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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.