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Finding the Fourth Proportional to 1,920.84, 2,648.13 and 1,639.86

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Solution

The fourth proportional to 1,920.84, 2,648.13 and 1,639.86 is: 2,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.84 : 2,648.13 = 1,639.86 : x
  2. Step 2: Convert to fraction form
    1,920.84/2,648.13 = 1,639.86/x
  3. Step 3: Cross multiply
    1,920.84x = 2,648.13 × 1,639.86
  4. Step 4: Simplify right side
    1,920.84x = 4,342,562.46
  5. Step 5: Solve for x
    x = 4,342,562.46/1,920.84
  6. Step 6: Final answer
    x = 2,260.76

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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.