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Finding the Fourth Proportional to 18,782.60, 25,926.50 and 11,618

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Solution

The fourth proportional to 18,782.60, 25,926.50 and 11,618 is: 16,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.60 : 25,926.50 = 11,618 : x
  2. Step 2: Convert to fraction form
    18,782.60/25,926.50 = 11,618/x
  3. Step 3: Cross multiply
    18,782.60x = 25,926.50 × 11,618
  4. Step 4: Simplify right side
    18,782.60x = 301,214,077
  5. Step 5: Solve for x
    x = 301,214,077/18,782.60
  6. Step 6: Final answer
    x = 16,036.87

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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.