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Finding the Fourth Proportional to 1,920.63, 2,648.19 and 1,639.98

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Solution

The fourth proportional to 1,920.63, 2,648.19 and 1,639.98 is: 2,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.63 : 2,648.19 = 1,639.98 : x
  2. Step 2: Convert to fraction form
    1,920.63/2,648.19 = 1,639.98/x
  3. Step 3: Cross multiply
    1,920.63x = 2,648.19 × 1,639.98
  4. Step 4: Simplify right side
    1,920.63x = 4,342,978.64
  5. Step 5: Solve for x
    x = 4,342,978.64/1,920.63
  6. Step 6: Final answer
    x = 2,261.23

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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.