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Finding the Fourth Proportional to 2,802.70, 3,871.38 and 2,273.55

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Solution

The fourth proportional to 2,802.70, 3,871.38 and 2,273.55 is: 3,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.70 : 3,871.38 = 2,273.55 : x
  2. Step 2: Convert to fraction form
    2,802.70/3,871.38 = 2,273.55/x
  3. Step 3: Cross multiply
    2,802.70x = 3,871.38 × 2,273.55
  4. Step 4: Simplify right side
    2,802.70x = 8,801,776.00
  5. Step 5: Solve for x
    x = 8,801,776.00/2,802.70
  6. Step 6: Final answer
    x = 3,140.46

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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.