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Finding the Fourth Proportional to 27,930.84, 41,898.87 and 9,211.02

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Solution

The fourth proportional to 27,930.84, 41,898.87 and 9,211.02 is: 13,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.84 : 41,898.87 = 9,211.02 : x
  2. Step 2: Convert to fraction form
    27,930.84/41,898.87 = 9,211.02/x
  3. Step 3: Cross multiply
    27,930.84x = 41,898.87 × 9,211.02
  4. Step 4: Simplify right side
    27,930.84x = 385,931,329.55
  5. Step 5: Solve for x
    x = 385,931,329.55/27,930.84
  6. Step 6: Final answer
    x = 13,817.39

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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.