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Finding the Fourth Proportional to 18,711, 25,823.97 and 12,004.20

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Solution

The fourth proportional to 18,711, 25,823.97 and 12,004.20 is: 16,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711 : 25,823.97 = 12,004.20 : x
  2. Step 2: Convert to fraction form
    18,711/25,823.97 = 12,004.20/x
  3. Step 3: Cross multiply
    18,711x = 25,823.97 × 12,004.20
  4. Step 4: Simplify right side
    18,711x = 309,996,100.67
  5. Step 5: Solve for x
    x = 309,996,100.67/18,711
  6. Step 6: Final answer
    x = 16,567.59

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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.