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Finding the Fourth Proportional to 2,642.64, 3,960.96 and 909.84

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Solution

The fourth proportional to 2,642.64, 3,960.96 and 909.84 is: 1,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.64 : 3,960.96 = 909.84 : x
  2. Step 2: Convert to fraction form
    2,642.64/3,960.96 = 909.84/x
  3. Step 3: Cross multiply
    2,642.64x = 3,960.96 × 909.84
  4. Step 4: Simplify right side
    2,642.64x = 3,603,839.85
  5. Step 5: Solve for x
    x = 3,603,839.85/2,642.64
  6. Step 6: Final answer
    x = 1,363.73

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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.