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Finding the Fourth Proportional to 20,700, 28,566 and 11,268.63

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Solution

The fourth proportional to 20,700, 28,566 and 11,268.63 is: 15,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700 : 28,566 = 11,268.63 : x
  2. Step 2: Convert to fraction form
    20,700/28,566 = 11,268.63/x
  3. Step 3: Cross multiply
    20,700x = 28,566 × 11,268.63
  4. Step 4: Simplify right side
    20,700x = 321,899,684.58
  5. Step 5: Solve for x
    x = 321,899,684.58/20,700
  6. Step 6: Final answer
    x = 15,550.71

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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.