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Finding the Fourth Proportional to 18,784.60, 25,929.26 and 11,620

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Solution

The fourth proportional to 18,784.60, 25,929.26 and 11,620 is: 16,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.60 : 25,929.26 = 11,620 : x
  2. Step 2: Convert to fraction form
    18,784.60/25,929.26 = 11,620/x
  3. Step 3: Cross multiply
    18,784.60x = 25,929.26 × 11,620
  4. Step 4: Simplify right side
    18,784.60x = 301,298,001.20
  5. Step 5: Solve for x
    x = 301,298,001.20/18,784.60
  6. Step 6: Final answer
    x = 16,039.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.