Home / 1,524.93-2,104.41-861.77

Finding the Fourth Proportional to 1,524.93, 2,104.41 and 861.77

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Solution

The fourth proportional to 1,524.93, 2,104.41 and 861.77 is: 1,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.93 : 2,104.41 = 861.77 : x
  2. Step 2: Convert to fraction form
    1,524.93/2,104.41 = 861.77/x
  3. Step 3: Cross multiply
    1,524.93x = 2,104.41 × 861.77
  4. Step 4: Simplify right side
    1,524.93x = 1,813,525.90
  5. Step 5: Solve for x
    x = 1,813,525.90/1,524.93
  6. Step 6: Final answer
    x = 1,189.25

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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.