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Finding the Fourth Proportional to 1,940.70, 2,897.90 and 1,525.17

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Solution

The fourth proportional to 1,940.70, 2,897.90 and 1,525.17 is: 2,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.70 : 2,897.90 = 1,525.17 : x
  2. Step 2: Convert to fraction form
    1,940.70/2,897.90 = 1,525.17/x
  3. Step 3: Cross multiply
    1,940.70x = 2,897.90 × 1,525.17
  4. Step 4: Simplify right side
    1,940.70x = 4,419,790.14
  5. Step 5: Solve for x
    x = 4,419,790.14/1,940.70
  6. Step 6: Final answer
    x = 2,277.42

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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.