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Finding the Fourth Proportional to 3,270.75, 4,907.07 and 962.25

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Solution

The fourth proportional to 3,270.75, 4,907.07 and 962.25 is: 1,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.75 : 4,907.07 = 962.25 : x
  2. Step 2: Convert to fraction form
    3,270.75/4,907.07 = 962.25/x
  3. Step 3: Cross multiply
    3,270.75x = 4,907.07 × 962.25
  4. Step 4: Simplify right side
    3,270.75x = 4,721,828.11
  5. Step 5: Solve for x
    x = 4,721,828.11/3,270.75
  6. Step 6: Final answer
    x = 1,443.65

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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.