Home / 1,119.24-1,542.42-824.64

Finding the Fourth Proportional to 1,119.24, 1,542.42 and 824.64

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Solution

The fourth proportional to 1,119.24, 1,542.42 and 824.64 is: 1,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.24 : 1,542.42 = 824.64 : x
  2. Step 2: Convert to fraction form
    1,119.24/1,542.42 = 824.64/x
  3. Step 3: Cross multiply
    1,119.24x = 1,542.42 × 824.64
  4. Step 4: Simplify right side
    1,119.24x = 1,271,941.23
  5. Step 5: Solve for x
    x = 1,271,941.23/1,119.24
  6. Step 6: Final answer
    x = 1,136.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.