Home / 2,774.18-4,161.90-826.32

Finding the Fourth Proportional to 2,774.18, 4,161.90 and 826.32

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Solution

The fourth proportional to 2,774.18, 4,161.90 and 826.32 is: 1,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.18 : 4,161.90 = 826.32 : x
  2. Step 2: Convert to fraction form
    2,774.18/4,161.90 = 826.32/x
  3. Step 3: Cross multiply
    2,774.18x = 4,161.90 × 826.32
  4. Step 4: Simplify right side
    2,774.18x = 3,439,061.21
  5. Step 5: Solve for x
    x = 3,439,061.21/2,774.18
  6. Step 6: Final answer
    x = 1,239.67

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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.