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Finding the Fourth Proportional to 1,523.26, 2,101.99 and 860.21

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Solution

The fourth proportional to 1,523.26, 2,101.99 and 860.21 is: 1,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.26 : 2,101.99 = 860.21 : x
  2. Step 2: Convert to fraction form
    1,523.26/2,101.99 = 860.21/x
  3. Step 3: Cross multiply
    1,523.26x = 2,101.99 × 860.21
  4. Step 4: Simplify right side
    1,523.26x = 1,808,152.82
  5. Step 5: Solve for x
    x = 1,808,152.82/1,523.26
  6. Step 6: Final answer
    x = 1,187.03

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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.