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Finding the Fourth Proportional to 2,964.78, 4,091.38 and 1,638.50

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Solution

The fourth proportional to 2,964.78, 4,091.38 and 1,638.50 is: 2,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.78 : 4,091.38 = 1,638.50 : x
  2. Step 2: Convert to fraction form
    2,964.78/4,091.38 = 1,638.50/x
  3. Step 3: Cross multiply
    2,964.78x = 4,091.38 × 1,638.50
  4. Step 4: Simplify right side
    2,964.78x = 6,703,726.13
  5. Step 5: Solve for x
    x = 6,703,726.13/2,964.78
  6. Step 6: Final answer
    x = 2,261.12

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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.