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Finding the Fourth Proportional to 9,600, 14,400 and 2,674.80

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Solution

The fourth proportional to 9,600, 14,400 and 2,674.80 is: 4,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 14,400 = 2,674.80 : x
  2. Step 2: Convert to fraction form
    9,600/14,400 = 2,674.80/x
  3. Step 3: Cross multiply
    9,600x = 14,400 × 2,674.80
  4. Step 4: Simplify right side
    9,600x = 38,517,120
  5. Step 5: Solve for x
    x = 38,517,120/9,600
  6. Step 6: Final answer
    x = 4,012.20

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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.