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Finding the Fourth Proportional to 21,189, 31,783.53 and 7,338

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Solution

The fourth proportional to 21,189, 31,783.53 and 7,338 is: 11,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189 : 31,783.53 = 7,338 : x
  2. Step 2: Convert to fraction form
    21,189/31,783.53 = 7,338/x
  3. Step 3: Cross multiply
    21,189x = 31,783.53 × 7,338
  4. Step 4: Simplify right side
    21,189x = 233,227,543.14
  5. Step 5: Solve for x
    x = 233,227,543.14/21,189
  6. Step 6: Final answer
    x = 11,007.01

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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.