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Finding the Fourth Proportional to 2,801.98, 3,866.54 and 1,606.95

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Solution

The fourth proportional to 2,801.98, 3,866.54 and 1,606.95 is: 2,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.98 : 3,866.54 = 1,606.95 : x
  2. Step 2: Convert to fraction form
    2,801.98/3,866.54 = 1,606.95/x
  3. Step 3: Cross multiply
    2,801.98x = 3,866.54 × 1,606.95
  4. Step 4: Simplify right side
    2,801.98x = 6,213,317.12
  5. Step 5: Solve for x
    x = 6,213,317.12/2,801.98
  6. Step 6: Final answer
    x = 2,217.48

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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.