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Finding the Fourth Proportional to 2,641.69, 3,962.55 and 693.85

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Solution

The fourth proportional to 2,641.69, 3,962.55 and 693.85 is: 1,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.69 : 3,962.55 = 693.85 : x
  2. Step 2: Convert to fraction form
    2,641.69/3,962.55 = 693.85/x
  3. Step 3: Cross multiply
    2,641.69x = 3,962.55 × 693.85
  4. Step 4: Simplify right side
    2,641.69x = 2,749,415.32
  5. Step 5: Solve for x
    x = 2,749,415.32/2,641.69
  6. Step 6: Final answer
    x = 1,040.78

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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.