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Finding the Fourth Proportional to 1,973.88, 2,724.42 and 1,228.41

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Solution

The fourth proportional to 1,973.88, 2,724.42 and 1,228.41 is: 1,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.88 : 2,724.42 = 1,228.41 : x
  2. Step 2: Convert to fraction form
    1,973.88/2,724.42 = 1,228.41/x
  3. Step 3: Cross multiply
    1,973.88x = 2,724.42 × 1,228.41
  4. Step 4: Simplify right side
    1,973.88x = 3,346,704.77
  5. Step 5: Solve for x
    x = 3,346,704.77/1,973.88
  6. Step 6: Final answer
    x = 1,695.50

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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.