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Finding the Fourth Proportional to 1,523.70, 2,102.85 and 860.67

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Solution

The fourth proportional to 1,523.70, 2,102.85 and 860.67 is: 1,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.70 : 2,102.85 = 860.67 : x
  2. Step 2: Convert to fraction form
    1,523.70/2,102.85 = 860.67/x
  3. Step 3: Cross multiply
    1,523.70x = 2,102.85 × 860.67
  4. Step 4: Simplify right side
    1,523.70x = 1,809,859.91
  5. Step 5: Solve for x
    x = 1,809,859.91/1,523.70
  6. Step 6: Final answer
    x = 1,187.81

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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.