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Finding the Fourth Proportional to 9,649, 14,474.85 and 2,986.05

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Solution

The fourth proportional to 9,649, 14,474.85 and 2,986.05 is: 4,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649 : 14,474.85 = 2,986.05 : x
  2. Step 2: Convert to fraction form
    9,649/14,474.85 = 2,986.05/x
  3. Step 3: Cross multiply
    9,649x = 14,474.85 × 2,986.05
  4. Step 4: Simplify right side
    9,649x = 43,222,625.84
  5. Step 5: Solve for x
    x = 43,222,625.84/9,649
  6. Step 6: Final answer
    x = 4,479.49

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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.