Home / 2,206.45-3,311.16-974.22

Finding the Fourth Proportional to 2,206.45, 3,311.16 and 974.22

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Solution

The fourth proportional to 2,206.45, 3,311.16 and 974.22 is: 1,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.45 : 3,311.16 = 974.22 : x
  2. Step 2: Convert to fraction form
    2,206.45/3,311.16 = 974.22/x
  3. Step 3: Cross multiply
    2,206.45x = 3,311.16 × 974.22
  4. Step 4: Simplify right side
    2,206.45x = 3,225,798.30
  5. Step 5: Solve for x
    x = 3,225,798.30/2,206.45
  6. Step 6: Final answer
    x = 1,461.99

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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.