Home / 7,401-11,106.36-2,784

Finding the Fourth Proportional to 7,401, 11,106.36 and 2,784

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Solution

The fourth proportional to 7,401, 11,106.36 and 2,784 is: 4,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401 : 11,106.36 = 2,784 : x
  2. Step 2: Convert to fraction form
    7,401/11,106.36 = 2,784/x
  3. Step 3: Cross multiply
    7,401x = 11,106.36 × 2,784
  4. Step 4: Simplify right side
    7,401x = 30,920,106.24
  5. Step 5: Solve for x
    x = 30,920,106.24/7,401
  6. Step 6: Final answer
    x = 4,177.83

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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.