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Finding the Fourth Proportional to 14,883, 20,538.78 and 8,259

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Solution

The fourth proportional to 14,883, 20,538.78 and 8,259 is: 11,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,883 : 20,538.78 = 8,259 : x
  2. Step 2: Convert to fraction form
    14,883/20,538.78 = 8,259/x
  3. Step 3: Cross multiply
    14,883x = 20,538.78 × 8,259
  4. Step 4: Simplify right side
    14,883x = 169,629,784.02
  5. Step 5: Solve for x
    x = 169,629,784.02/14,883
  6. Step 6: Final answer
    x = 11,397.55

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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.