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Finding the Fourth Proportional to 18,830.85, 25,978.37 and 11,658.86

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Solution

The fourth proportional to 18,830.85, 25,978.37 and 11,658.86 is: 16,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.85 : 25,978.37 = 11,658.86 : x
  2. Step 2: Convert to fraction form
    18,830.85/25,978.37 = 11,658.86/x
  3. Step 3: Cross multiply
    18,830.85x = 25,978.37 × 11,658.86
  4. Step 4: Simplify right side
    18,830.85x = 302,878,178.86
  5. Step 5: Solve for x
    x = 302,878,178.86/18,830.85
  6. Step 6: Final answer
    x = 16,084.15

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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.