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Finding the Fourth Proportional to 21,930.29, 32,898.88 and 9,453.86

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Solution

The fourth proportional to 21,930.29, 32,898.88 and 9,453.86 is: 14,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.29 : 32,898.88 = 9,453.86 : x
  2. Step 2: Convert to fraction form
    21,930.29/32,898.88 = 9,453.86/x
  3. Step 3: Cross multiply
    21,930.29x = 32,898.88 × 9,453.86
  4. Step 4: Simplify right side
    21,930.29x = 311,021,217.55
  5. Step 5: Solve for x
    x = 311,021,217.55/21,930.29
  6. Step 6: Final answer
    x = 14,182.27

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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.