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Finding the Fourth Proportional to 2,170.64, 2,994.36 and 1,383.32

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Solution

The fourth proportional to 2,170.64, 2,994.36 and 1,383.32 is: 1,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.64 : 2,994.36 = 1,383.32 : x
  2. Step 2: Convert to fraction form
    2,170.64/2,994.36 = 1,383.32/x
  3. Step 3: Cross multiply
    2,170.64x = 2,994.36 × 1,383.32
  4. Step 4: Simplify right side
    2,170.64x = 4,142,158.08
  5. Step 5: Solve for x
    x = 4,142,158.08/2,170.64
  6. Step 6: Final answer
    x = 1,908.27

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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.