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Finding the Fourth Proportional to 18,826, 25,980 and 10,442.52

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Solution

The fourth proportional to 18,826, 25,980 and 10,442.52 is: 14,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826 : 25,980 = 10,442.52 : x
  2. Step 2: Convert to fraction form
    18,826/25,980 = 10,442.52/x
  3. Step 3: Cross multiply
    18,826x = 25,980 × 10,442.52
  4. Step 4: Simplify right side
    18,826x = 271,296,669.60
  5. Step 5: Solve for x
    x = 271,296,669.60/18,826
  6. Step 6: Final answer
    x = 14,410.74

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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.