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Finding the Fourth Proportional to 1,608.12, 2,220.78 and 1,373.88

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Solution

The fourth proportional to 1,608.12, 2,220.78 and 1,373.88 is: 1,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.12 : 2,220.78 = 1,373.88 : x
  2. Step 2: Convert to fraction form
    1,608.12/2,220.78 = 1,373.88/x
  3. Step 3: Cross multiply
    1,608.12x = 2,220.78 × 1,373.88
  4. Step 4: Simplify right side
    1,608.12x = 3,051,085.23
  5. Step 5: Solve for x
    x = 3,051,085.23/1,608.12
  6. Step 6: Final answer
    x = 1,897.30

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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.