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Finding the Fourth Proportional to 1,523.46, 2,102.50 and 860.39

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Solution

The fourth proportional to 1,523.46, 2,102.50 and 860.39 is: 1,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.46 : 2,102.50 = 860.39 : x
  2. Step 2: Convert to fraction form
    1,523.46/2,102.50 = 860.39/x
  3. Step 3: Cross multiply
    1,523.46x = 2,102.50 × 860.39
  4. Step 4: Simplify right side
    1,523.46x = 1,808,969.98
  5. Step 5: Solve for x
    x = 1,808,969.98/1,523.46
  6. Step 6: Final answer
    x = 1,187.41

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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.