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Finding the Fourth Proportional to 21,930.79, 32,899.63 and 9,454.36

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Solution

The fourth proportional to 21,930.79, 32,899.63 and 9,454.36 is: 14,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.79 : 32,899.63 = 9,454.36 : x
  2. Step 2: Convert to fraction form
    21,930.79/32,899.63 = 9,454.36/x
  3. Step 3: Cross multiply
    21,930.79x = 32,899.63 × 9,454.36
  4. Step 4: Simplify right side
    21,930.79x = 311,044,781.39
  5. Step 5: Solve for x
    x = 311,044,781.39/21,930.79
  6. Step 6: Final answer
    x = 14,183.02

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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.