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Finding the Fourth Proportional to 3,486.68, 5,231.93 and 1,538.82

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Solution

The fourth proportional to 3,486.68, 5,231.93 and 1,538.82 is: 2,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.68 : 5,231.93 = 1,538.82 : x
  2. Step 2: Convert to fraction form
    3,486.68/5,231.93 = 1,538.82/x
  3. Step 3: Cross multiply
    3,486.68x = 5,231.93 × 1,538.82
  4. Step 4: Simplify right side
    3,486.68x = 8,050,990.83
  5. Step 5: Solve for x
    x = 8,050,990.83/3,486.68
  6. Step 6: Final answer
    x = 2,309.07

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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.