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Finding the Fourth Proportional to 11,881.66, 17,820.42 and 3,116.02

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Solution

The fourth proportional to 11,881.66, 17,820.42 and 3,116.02 is: 4,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.66 : 17,820.42 = 3,116.02 : x
  2. Step 2: Convert to fraction form
    11,881.66/17,820.42 = 3,116.02/x
  3. Step 3: Cross multiply
    11,881.66x = 17,820.42 × 3,116.02
  4. Step 4: Simplify right side
    11,881.66x = 55,528,785.13
  5. Step 5: Solve for x
    x = 55,528,785.13/11,881.66
  6. Step 6: Final answer
    x = 4,673.49

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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.