Home / 1,524.51-2,104.23-861.75

Finding the Fourth Proportional to 1,524.51, 2,104.23 and 861.75

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Solution

The fourth proportional to 1,524.51, 2,104.23 and 861.75 is: 1,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.51 : 2,104.23 = 861.75 : x
  2. Step 2: Convert to fraction form
    1,524.51/2,104.23 = 861.75/x
  3. Step 3: Cross multiply
    1,524.51x = 2,104.23 × 861.75
  4. Step 4: Simplify right side
    1,524.51x = 1,813,320.20
  5. Step 5: Solve for x
    x = 1,813,320.20/1,524.51
  6. Step 6: Final answer
    x = 1,189.44

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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.