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Finding the Fourth Proportional to 11,817.28, 17,720.16 and 8,361.28

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Solution

The fourth proportional to 11,817.28, 17,720.16 and 8,361.28 is: 12,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.28 : 17,720.16 = 8,361.28 : x
  2. Step 2: Convert to fraction form
    11,817.28/17,720.16 = 8,361.28/x
  3. Step 3: Cross multiply
    11,817.28x = 17,720.16 × 8,361.28
  4. Step 4: Simplify right side
    11,817.28x = 148,163,219.40
  5. Step 5: Solve for x
    x = 148,163,219.40/11,817.28
  6. Step 6: Final answer
    x = 12,537.84

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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.