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Finding the Fourth Proportional to 11,858, 17,787 and 3,650

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Solution

The fourth proportional to 11,858, 17,787 and 3,650 is: 5,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858 : 17,787 = 3,650 : x
  2. Step 2: Convert to fraction form
    11,858/17,787 = 3,650/x
  3. Step 3: Cross multiply
    11,858x = 17,787 × 3,650
  4. Step 4: Simplify right side
    11,858x = 64,922,550
  5. Step 5: Solve for x
    x = 64,922,550/11,858
  6. Step 6: Final answer
    x = 5,475

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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.