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Finding the Fourth Proportional to 21,277.60, 31,930.80 and 9,584.80

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Solution

The fourth proportional to 21,277.60, 31,930.80 and 9,584.80 is: 14,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.60 : 31,930.80 = 9,584.80 : x
  2. Step 2: Convert to fraction form
    21,277.60/31,930.80 = 9,584.80/x
  3. Step 3: Cross multiply
    21,277.60x = 31,930.80 × 9,584.80
  4. Step 4: Simplify right side
    21,277.60x = 306,050,331.84
  5. Step 5: Solve for x
    x = 306,050,331.84/21,277.60
  6. Step 6: Final answer
    x = 14,383.69

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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.