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Finding the Fourth Proportional to 21,309.60, 31,940.40 and 10,221.60

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Solution

The fourth proportional to 21,309.60, 31,940.40 and 10,221.60 is: 15,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.60 : 31,940.40 = 10,221.60 : x
  2. Step 2: Convert to fraction form
    21,309.60/31,940.40 = 10,221.60/x
  3. Step 3: Cross multiply
    21,309.60x = 31,940.40 × 10,221.60
  4. Step 4: Simplify right side
    21,309.60x = 326,481,992.64
  5. Step 5: Solve for x
    x = 326,481,992.64/21,309.60
  6. Step 6: Final answer
    x = 15,320.89

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1.5x scale

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.