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Finding the Fourth Proportional to 11,885.76, 17,830.47 and 4,092.75

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Solution

The fourth proportional to 11,885.76, 17,830.47 and 4,092.75 is: 6,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.76 : 17,830.47 = 4,092.75 : x
  2. Step 2: Convert to fraction form
    11,885.76/17,830.47 = 4,092.75/x
  3. Step 3: Cross multiply
    11,885.76x = 17,830.47 × 4,092.75
  4. Step 4: Simplify right side
    11,885.76x = 72,975,656.09
  5. Step 5: Solve for x
    x = 72,975,656.09/11,885.76
  6. Step 6: Final answer
    x = 6,139.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.