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Finding the Fourth Proportional to 2,798.82, 3,862.08 and 2,011.50

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Solution

The fourth proportional to 2,798.82, 3,862.08 and 2,011.50 is: 2,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.82 : 3,862.08 = 2,011.50 : x
  2. Step 2: Convert to fraction form
    2,798.82/3,862.08 = 2,011.50/x
  3. Step 3: Cross multiply
    2,798.82x = 3,862.08 × 2,011.50
  4. Step 4: Simplify right side
    2,798.82x = 7,768,573.92
  5. Step 5: Solve for x
    x = 7,768,573.92/2,798.82
  6. Step 6: Final answer
    x = 2,775.66

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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.