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Finding the Fourth Proportional to 1,920.48, 2,648.16 and 1,422.48

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Solution

The fourth proportional to 1,920.48, 2,648.16 and 1,422.48 is: 1,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.48 : 2,648.16 = 1,422.48 : x
  2. Step 2: Convert to fraction form
    1,920.48/2,648.16 = 1,422.48/x
  3. Step 3: Cross multiply
    1,920.48x = 2,648.16 × 1,422.48
  4. Step 4: Simplify right side
    1,920.48x = 3,766,954.64
  5. Step 5: Solve for x
    x = 3,766,954.64/1,920.48
  6. Step 6: Final answer
    x = 1,961.47

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1.5x scale

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.