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Finding the Fourth Proportional to 1,969.37, 2,954.74 and 1,638.76

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Solution

The fourth proportional to 1,969.37, 2,954.74 and 1,638.76 is: 2,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.37 : 2,954.74 = 1,638.76 : x
  2. Step 2: Convert to fraction form
    1,969.37/2,954.74 = 1,638.76/x
  3. Step 3: Cross multiply
    1,969.37x = 2,954.74 × 1,638.76
  4. Step 4: Simplify right side
    1,969.37x = 4,842,094.95
  5. Step 5: Solve for x
    x = 4,842,094.95/1,969.37
  6. Step 6: Final answer
    x = 2,458.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.