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Finding the Fourth Proportional to 21,189.56, 31,784.02 and 7,338.68

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Solution

The fourth proportional to 21,189.56, 31,784.02 and 7,338.68 is: 11,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.56 : 31,784.02 = 7,338.68 : x
  2. Step 2: Convert to fraction form
    21,189.56/31,784.02 = 7,338.68/x
  3. Step 3: Cross multiply
    21,189.56x = 31,784.02 × 7,338.68
  4. Step 4: Simplify right side
    21,189.56x = 233,252,751.89
  5. Step 5: Solve for x
    x = 233,252,751.89/21,189.56
  6. Step 6: Final answer
    x = 11,007.91

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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.