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Finding the Fourth Proportional to 2,651.54, 3,973.05 and 1,921.52

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Solution

The fourth proportional to 2,651.54, 3,973.05 and 1,921.52 is: 2,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.54 : 3,973.05 = 1,921.52 : x
  2. Step 2: Convert to fraction form
    2,651.54/3,973.05 = 1,921.52/x
  3. Step 3: Cross multiply
    2,651.54x = 3,973.05 × 1,921.52
  4. Step 4: Simplify right side
    2,651.54x = 7,634,304.97
  5. Step 5: Solve for x
    x = 7,634,304.97/2,651.54
  6. Step 6: Final answer
    x = 2,879.20

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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.