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Finding the Fourth Proportional to 2,964.64, 4,091.28 and 1,705.92

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Solution

The fourth proportional to 2,964.64, 4,091.28 and 1,705.92 is: 2,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.64 : 4,091.28 = 1,705.92 : x
  2. Step 2: Convert to fraction form
    2,964.64/4,091.28 = 1,705.92/x
  3. Step 3: Cross multiply
    2,964.64x = 4,091.28 × 1,705.92
  4. Step 4: Simplify right side
    2,964.64x = 6,979,396.38
  5. Step 5: Solve for x
    x = 6,979,396.38/2,964.64
  6. Step 6: Final answer
    x = 2,354.21

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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.