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Finding the Fourth Proportional to 1,973.81, 2,724 and 1,227.80

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Solution

The fourth proportional to 1,973.81, 2,724 and 1,227.80 is: 1,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.81 : 2,724 = 1,227.80 : x
  2. Step 2: Convert to fraction form
    1,973.81/2,724 = 1,227.80/x
  3. Step 3: Cross multiply
    1,973.81x = 2,724 × 1,227.80
  4. Step 4: Simplify right side
    1,973.81x = 3,344,534.01
  5. Step 5: Solve for x
    x = 3,344,534.01/1,973.81
  6. Step 6: Final answer
    x = 1,694.45

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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.