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Finding the Fourth Proportional to 11,922.84, 16,446.68 and 7,438.80

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Solution

The fourth proportional to 11,922.84, 16,446.68 and 7,438.80 is: 10,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.84 : 16,446.68 = 7,438.80 : x
  2. Step 2: Convert to fraction form
    11,922.84/16,446.68 = 7,438.80/x
  3. Step 3: Cross multiply
    11,922.84x = 16,446.68 × 7,438.80
  4. Step 4: Simplify right side
    11,922.84x = 122,343,563.18
  5. Step 5: Solve for x
    x = 122,343,563.18/11,922.84
  6. Step 6: Final answer
    x = 10,261.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.