Home / 1,467.99-2,202.26-947.75

Finding the Fourth Proportional to 1,467.99, 2,202.26 and 947.75

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Solution

The fourth proportional to 1,467.99, 2,202.26 and 947.75 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.99 : 2,202.26 = 947.75 : x
  2. Step 2: Convert to fraction form
    1,467.99/2,202.26 = 947.75/x
  3. Step 3: Cross multiply
    1,467.99x = 2,202.26 × 947.75
  4. Step 4: Simplify right side
    1,467.99x = 2,087,191.92
  5. Step 5: Solve for x
    x = 2,087,191.92/1,467.99
  6. Step 6: Final answer
    x = 1,421.80

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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.