Home / 1,524.17-2,103.36-825.54

Finding the Fourth Proportional to 1,524.17, 2,103.36 and 825.54

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Solution

The fourth proportional to 1,524.17, 2,103.36 and 825.54 is: 1,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.17 : 2,103.36 = 825.54 : x
  2. Step 2: Convert to fraction form
    1,524.17/2,103.36 = 825.54/x
  3. Step 3: Cross multiply
    1,524.17x = 2,103.36 × 825.54
  4. Step 4: Simplify right side
    1,524.17x = 1,736,408.66
  5. Step 5: Solve for x
    x = 1,736,408.66/1,524.17
  6. Step 6: Final answer
    x = 1,139.25

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1.5x scale

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.