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Finding the Fourth Proportional to 2,964.60, 4,091.14 and 1,638.40

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Solution

The fourth proportional to 2,964.60, 4,091.14 and 1,638.40 is: 2,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.60 : 4,091.14 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    2,964.60/4,091.14 = 1,638.40/x
  3. Step 3: Cross multiply
    2,964.60x = 4,091.14 × 1,638.40
  4. Step 4: Simplify right side
    2,964.60x = 6,702,923.78
  5. Step 5: Solve for x
    x = 6,702,923.78/2,964.60
  6. Step 6: Final answer
    x = 2,260.99

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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.