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Finding the Fourth Proportional to 1,523.75, 2,103.08 and 860.61

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Solution

The fourth proportional to 1,523.75, 2,103.08 and 860.61 is: 1,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.75 : 2,103.08 = 860.61 : x
  2. Step 2: Convert to fraction form
    1,523.75/2,103.08 = 860.61/x
  3. Step 3: Cross multiply
    1,523.75x = 2,103.08 × 860.61
  4. Step 4: Simplify right side
    1,523.75x = 1,809,931.68
  5. Step 5: Solve for x
    x = 1,809,931.68/1,523.75
  6. Step 6: Final answer
    x = 1,187.81

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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.