Home / 1,412.04-2,118.64-864.24

Finding the Fourth Proportional to 1,412.04, 2,118.64 and 864.24

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Solution

The fourth proportional to 1,412.04, 2,118.64 and 864.24 is: 1,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.04 : 2,118.64 = 864.24 : x
  2. Step 2: Convert to fraction form
    1,412.04/2,118.64 = 864.24/x
  3. Step 3: Cross multiply
    1,412.04x = 2,118.64 × 864.24
  4. Step 4: Simplify right side
    1,412.04x = 1,831,013.43
  5. Step 5: Solve for x
    x = 1,831,013.43/1,412.04
  6. Step 6: Final answer
    x = 1,296.71

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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.