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Finding the Fourth Proportional to 20,573.86, 28,392 and 11,142.42

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Solution

The fourth proportional to 20,573.86, 28,392 and 11,142.42 is: 15,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.86 : 28,392 = 11,142.42 : x
  2. Step 2: Convert to fraction form
    20,573.86/28,392 = 11,142.42/x
  3. Step 3: Cross multiply
    20,573.86x = 28,392 × 11,142.42
  4. Step 4: Simplify right side
    20,573.86x = 316,355,588.64
  5. Step 5: Solve for x
    x = 316,355,588.64/20,573.86
  6. Step 6: Final answer
    x = 15,376.58

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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.