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Finding the Fourth Proportional to 2,815.84, 3,883.64 and 2,627.21

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Solution

The fourth proportional to 2,815.84, 3,883.64 and 2,627.21 is: 3,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.84 : 3,883.64 = 2,627.21 : x
  2. Step 2: Convert to fraction form
    2,815.84/3,883.64 = 2,627.21/x
  3. Step 3: Cross multiply
    2,815.84x = 3,883.64 × 2,627.21
  4. Step 4: Simplify right side
    2,815.84x = 10,203,137.84
  5. Step 5: Solve for x
    x = 10,203,137.84/2,815.84
  6. Step 6: Final answer
    x = 3,623.48

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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.