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Finding the Fourth Proportional to 20,665.86, 28,520.64 and 11,715

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Solution

The fourth proportional to 20,665.86, 28,520.64 and 11,715 is: 16,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.86 : 28,520.64 = 11,715 : x
  2. Step 2: Convert to fraction form
    20,665.86/28,520.64 = 11,715/x
  3. Step 3: Cross multiply
    20,665.86x = 28,520.64 × 11,715
  4. Step 4: Simplify right side
    20,665.86x = 334,119,297.60
  5. Step 5: Solve for x
    x = 334,119,297.60/20,665.86
  6. Step 6: Final answer
    x = 16,167.69

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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.