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Finding the Fourth Proportional to 2,964.61, 4,091.13 and 1,638.29

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Solution

The fourth proportional to 2,964.61, 4,091.13 and 1,638.29 is: 2,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.61 : 4,091.13 = 1,638.29 : x
  2. Step 2: Convert to fraction form
    2,964.61/4,091.13 = 1,638.29/x
  3. Step 3: Cross multiply
    2,964.61x = 4,091.13 × 1,638.29
  4. Step 4: Simplify right side
    2,964.61x = 6,702,454.94
  5. Step 5: Solve for x
    x = 6,702,454.94/2,964.61
  6. Step 6: Final answer
    x = 2,260.82

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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.