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Finding the Fourth Proportional to 2,801.97, 3,866.91 and 1,856.13

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Solution

The fourth proportional to 2,801.97, 3,866.91 and 1,856.13 is: 2,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.97 : 3,866.91 = 1,856.13 : x
  2. Step 2: Convert to fraction form
    2,801.97/3,866.91 = 1,856.13/x
  3. Step 3: Cross multiply
    2,801.97x = 3,866.91 × 1,856.13
  4. Step 4: Simplify right side
    2,801.97x = 7,177,487.66
  5. Step 5: Solve for x
    x = 7,177,487.66/2,801.97
  6. Step 6: Final answer
    x = 2,561.59

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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.