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Finding the Fourth Proportional to 3,539.52, 5,309.26 and 1,231

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Solution

The fourth proportional to 3,539.52, 5,309.26 and 1,231 is: 1,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.52 : 5,309.26 = 1,231 : x
  2. Step 2: Convert to fraction form
    3,539.52/5,309.26 = 1,231/x
  3. Step 3: Cross multiply
    3,539.52x = 5,309.26 × 1,231
  4. Step 4: Simplify right side
    3,539.52x = 6,535,699.06
  5. Step 5: Solve for x
    x = 6,535,699.06/3,539.52
  6. Step 6: Final answer
    x = 1,846.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.