Home / 1,412.24-2,118.84-864.80

Finding the Fourth Proportional to 1,412.24, 2,118.84 and 864.80

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Solution

The fourth proportional to 1,412.24, 2,118.84 and 864.80 is: 1,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.24 : 2,118.84 = 864.80 : x
  2. Step 2: Convert to fraction form
    1,412.24/2,118.84 = 864.80/x
  3. Step 3: Cross multiply
    1,412.24x = 2,118.84 × 864.80
  4. Step 4: Simplify right side
    1,412.24x = 1,832,372.83
  5. Step 5: Solve for x
    x = 1,832,372.83/1,412.24
  6. Step 6: Final answer
    x = 1,297.49

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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.