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Finding the Fourth Proportional to 11,918, 17,877 and 3,710

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Solution

The fourth proportional to 11,918, 17,877 and 3,710 is: 5,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918 : 17,877 = 3,710 : x
  2. Step 2: Convert to fraction form
    11,918/17,877 = 3,710/x
  3. Step 3: Cross multiply
    11,918x = 17,877 × 3,710
  4. Step 4: Simplify right side
    11,918x = 66,323,670
  5. Step 5: Solve for x
    x = 66,323,670/11,918
  6. Step 6: Final answer
    x = 5,565

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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.