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Finding the Fourth Proportional to 21,244, 31,860.80 and 7,203.68

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Solution

The fourth proportional to 21,244, 31,860.80 and 7,203.68 is: 10,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244 : 31,860.80 = 7,203.68 : x
  2. Step 2: Convert to fraction form
    21,244/31,860.80 = 7,203.68/x
  3. Step 3: Cross multiply
    21,244x = 31,860.80 × 7,203.68
  4. Step 4: Simplify right side
    21,244x = 229,515,007.74
  5. Step 5: Solve for x
    x = 229,515,007.74/21,244
  6. Step 6: Final answer
    x = 10,803.76

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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.