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Finding the Fourth Proportional to 2,370, 3,270.36 and 1,321.88

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Solution

The fourth proportional to 2,370, 3,270.36 and 1,321.88 is: 1,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,270.36 = 1,321.88 : x
  2. Step 2: Convert to fraction form
    2,370/3,270.36 = 1,321.88/x
  3. Step 3: Cross multiply
    2,370x = 3,270.36 × 1,321.88
  4. Step 4: Simplify right side
    2,370x = 4,323,023.48
  5. Step 5: Solve for x
    x = 4,323,023.48/2,370
  6. Step 6: Final answer
    x = 1,824.06

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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.