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Finding the Fourth Proportional to 20,841.52, 28,760.52 and 11,410

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Solution

The fourth proportional to 20,841.52, 28,760.52 and 11,410 is: 15,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.52 : 28,760.52 = 11,410 : x
  2. Step 2: Convert to fraction form
    20,841.52/28,760.52 = 11,410/x
  3. Step 3: Cross multiply
    20,841.52x = 28,760.52 × 11,410
  4. Step 4: Simplify right side
    20,841.52x = 328,157,533.20
  5. Step 5: Solve for x
    x = 328,157,533.20/20,841.52
  6. Step 6: Final answer
    x = 15,745.37

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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.