Home / 1,523.18-2,101.99-824.55

Finding the Fourth Proportional to 1,523.18, 2,101.99 and 824.55

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Solution

The fourth proportional to 1,523.18, 2,101.99 and 824.55 is: 1,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.18 : 2,101.99 = 824.55 : x
  2. Step 2: Convert to fraction form
    1,523.18/2,101.99 = 824.55/x
  3. Step 3: Cross multiply
    1,523.18x = 2,101.99 × 824.55
  4. Step 4: Simplify right side
    1,523.18x = 1,733,204.03
  5. Step 5: Solve for x
    x = 1,733,204.03/1,523.18
  6. Step 6: Final answer
    x = 1,137.89

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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.