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Finding the Fourth Proportional to 2,798.25, 3,861.93 and 1,603

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Solution

The fourth proportional to 2,798.25, 3,861.93 and 1,603 is: 2,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.25 : 3,861.93 = 1,603 : x
  2. Step 2: Convert to fraction form
    2,798.25/3,861.93 = 1,603/x
  3. Step 3: Cross multiply
    2,798.25x = 3,861.93 × 1,603
  4. Step 4: Simplify right side
    2,798.25x = 6,190,673.79
  5. Step 5: Solve for x
    x = 6,190,673.79/2,798.25
  6. Step 6: Final answer
    x = 2,212.34

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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.