Home / 1,523.84-2,103.44-934.43

Finding the Fourth Proportional to 1,523.84, 2,103.44 and 934.43

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Solution

The fourth proportional to 1,523.84, 2,103.44 and 934.43 is: 1,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.84 : 2,103.44 = 934.43 : x
  2. Step 2: Convert to fraction form
    1,523.84/2,103.44 = 934.43/x
  3. Step 3: Cross multiply
    1,523.84x = 2,103.44 × 934.43
  4. Step 4: Simplify right side
    1,523.84x = 1,965,502.25
  5. Step 5: Solve for x
    x = 1,965,502.25/1,523.84
  6. Step 6: Final answer
    x = 1,289.84

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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.