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Finding the Fourth Proportional to 3,662.88, 5,054.84 and 1,984.32

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Solution

The fourth proportional to 3,662.88, 5,054.84 and 1,984.32 is: 2,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.88 : 5,054.84 = 1,984.32 : x
  2. Step 2: Convert to fraction form
    3,662.88/5,054.84 = 1,984.32/x
  3. Step 3: Cross multiply
    3,662.88x = 5,054.84 × 1,984.32
  4. Step 4: Simplify right side
    3,662.88x = 10,030,420.11
  5. Step 5: Solve for x
    x = 10,030,420.11/3,662.88
  6. Step 6: Final answer
    x = 2,738.40

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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.