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Finding the Fourth Proportional to 1,322.06, 1,973.42 and 1,220.00

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Solution

The fourth proportional to 1,322.06, 1,973.42 and 1,220.00 is: 1,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.06 : 1,973.42 = 1,220.00 : x
  2. Step 2: Convert to fraction form
    1,322.06/1,973.42 = 1,220.00/x
  3. Step 3: Cross multiply
    1,322.06x = 1,973.42 × 1,220.00
  4. Step 4: Simplify right side
    1,322.06x = 2,407,556.43
  5. Step 5: Solve for x
    x = 2,407,556.43/1,322.06
  6. Step 6: Final answer
    x = 1,821.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.