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Finding the Fourth Proportional to 18,683.64, 27,983.52 and 14,511

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Solution

The fourth proportional to 18,683.64, 27,983.52 and 14,511 is: 21,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.64 : 27,983.52 = 14,511 : x
  2. Step 2: Convert to fraction form
    18,683.64/27,983.52 = 14,511/x
  3. Step 3: Cross multiply
    18,683.64x = 27,983.52 × 14,511
  4. Step 4: Simplify right side
    18,683.64x = 406,068,858.72
  5. Step 5: Solve for x
    x = 406,068,858.72/18,683.64
  6. Step 6: Final answer
    x = 21,733.93

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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.