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Finding the Fourth Proportional to 20,560, 28,372.80 and 11,128.64

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Solution

The fourth proportional to 20,560, 28,372.80 and 11,128.64 is: 15,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 28,372.80 = 11,128.64 : x
  2. Step 2: Convert to fraction form
    20,560/28,372.80 = 11,128.64/x
  3. Step 3: Cross multiply
    20,560x = 28,372.80 × 11,128.64
  4. Step 4: Simplify right side
    20,560x = 315,750,676.99
  5. Step 5: Solve for x
    x = 315,750,676.99/20,560
  6. Step 6: Final answer
    x = 15,357.52

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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.