Home / 1,477.24-2,213.44-861.46

Finding the Fourth Proportional to 1,477.24, 2,213.44 and 861.46

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Solution

The fourth proportional to 1,477.24, 2,213.44 and 861.46 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.24 : 2,213.44 = 861.46 : x
  2. Step 2: Convert to fraction form
    1,477.24/2,213.44 = 861.46/x
  3. Step 3: Cross multiply
    1,477.24x = 2,213.44 × 861.46
  4. Step 4: Simplify right side
    1,477.24x = 1,906,790.02
  5. Step 5: Solve for x
    x = 1,906,790.02/1,477.24
  6. Step 6: Final answer
    x = 1,290.78

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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.