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Finding the Fourth Proportional to 20,807.27, 28,716.69 and 11,858

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Solution

The fourth proportional to 20,807.27, 28,716.69 and 11,858 is: 16,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.27 : 28,716.69 = 11,858 : x
  2. Step 2: Convert to fraction form
    20,807.27/28,716.69 = 11,858/x
  3. Step 3: Cross multiply
    20,807.27x = 28,716.69 × 11,858
  4. Step 4: Simplify right side
    20,807.27x = 340,522,510.02
  5. Step 5: Solve for x
    x = 340,522,510.02/20,807.27
  6. Step 6: Final answer
    x = 16,365.55

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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.