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Finding the Fourth Proportional to 2,604.70, 3,907.39 and 962.40

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Solution

The fourth proportional to 2,604.70, 3,907.39 and 962.40 is: 1,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.70 : 3,907.39 = 962.40 : x
  2. Step 2: Convert to fraction form
    2,604.70/3,907.39 = 962.40/x
  3. Step 3: Cross multiply
    2,604.70x = 3,907.39 × 962.40
  4. Step 4: Simplify right side
    2,604.70x = 3,760,472.14
  5. Step 5: Solve for x
    x = 3,760,472.14/2,604.70
  6. Step 6: Final answer
    x = 1,443.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.