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Finding the Fourth Proportional to 1,524.01, 2,103.09 and 860.80

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Solution

The fourth proportional to 1,524.01, 2,103.09 and 860.80 is: 1,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.01 : 2,103.09 = 860.80 : x
  2. Step 2: Convert to fraction form
    1,524.01/2,103.09 = 860.80/x
  3. Step 3: Cross multiply
    1,524.01x = 2,103.09 × 860.80
  4. Step 4: Simplify right side
    1,524.01x = 1,810,339.87
  5. Step 5: Solve for x
    x = 1,810,339.87/1,524.01
  6. Step 6: Final answer
    x = 1,187.88

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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.