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Finding the Fourth Proportional to 1,920.89, 2,648 and 1,359.62

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Solution

The fourth proportional to 1,920.89, 2,648 and 1,359.62 is: 1,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.89 : 2,648 = 1,359.62 : x
  2. Step 2: Convert to fraction form
    1,920.89/2,648 = 1,359.62/x
  3. Step 3: Cross multiply
    1,920.89x = 2,648 × 1,359.62
  4. Step 4: Simplify right side
    1,920.89x = 3,600,273.76
  5. Step 5: Solve for x
    x = 3,600,273.76/1,920.89
  6. Step 6: Final answer
    x = 1,874.27

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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.