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Finding the Fourth Proportional to 11,460, 17,197.68 and 4,164

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Solution

The fourth proportional to 11,460, 17,197.68 and 4,164 is: 6,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460 : 17,197.68 = 4,164 : x
  2. Step 2: Convert to fraction form
    11,460/17,197.68 = 4,164/x
  3. Step 3: Cross multiply
    11,460x = 17,197.68 × 4,164
  4. Step 4: Simplify right side
    11,460x = 71,611,139.52
  5. Step 5: Solve for x
    x = 71,611,139.52/11,460
  6. Step 6: Final answer
    x = 6,248.79

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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.