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Finding the Fourth Proportional to 11,855.57, 16,361.11 and 7,825.94

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Solution

The fourth proportional to 11,855.57, 16,361.11 and 7,825.94 is: 10,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.57 : 16,361.11 = 7,825.94 : x
  2. Step 2: Convert to fraction form
    11,855.57/16,361.11 = 7,825.94/x
  3. Step 3: Cross multiply
    11,855.57x = 16,361.11 × 7,825.94
  4. Step 4: Simplify right side
    11,855.57x = 128,041,065.19
  5. Step 5: Solve for x
    x = 128,041,065.19/11,855.57
  6. Step 6: Final answer
    x = 10,800.08

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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.