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Finding the Fourth Proportional to 2,801.81, 3,866.78 and 2,101.97

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Solution

The fourth proportional to 2,801.81, 3,866.78 and 2,101.97 is: 2,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.81 : 3,866.78 = 2,101.97 : x
  2. Step 2: Convert to fraction form
    2,801.81/3,866.78 = 2,101.97/x
  3. Step 3: Cross multiply
    2,801.81x = 3,866.78 × 2,101.97
  4. Step 4: Simplify right side
    2,801.81x = 8,127,841.48
  5. Step 5: Solve for x
    x = 8,127,841.48/2,801.81
  6. Step 6: Final answer
    x = 2,900.93

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1.5x scale

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.