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Finding the Fourth Proportional to 2,485, 3,428.10 and 1,489.96

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Solution

The fourth proportional to 2,485, 3,428.10 and 1,489.96 is: 2,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485 : 3,428.10 = 1,489.96 : x
  2. Step 2: Convert to fraction form
    2,485/3,428.10 = 1,489.96/x
  3. Step 3: Cross multiply
    2,485x = 3,428.10 × 1,489.96
  4. Step 4: Simplify right side
    2,485x = 5,107,731.88
  5. Step 5: Solve for x
    x = 5,107,731.88/2,485
  6. Step 6: Final answer
    x = 2,055.43

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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.