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Finding the Fourth Proportional to 21,771, 32,656.91 and 6,189.03

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Solution

The fourth proportional to 21,771, 32,656.91 and 6,189.03 is: 9,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771 : 32,656.91 = 6,189.03 : x
  2. Step 2: Convert to fraction form
    21,771/32,656.91 = 6,189.03/x
  3. Step 3: Cross multiply
    21,771x = 32,656.91 × 6,189.03
  4. Step 4: Simplify right side
    21,771x = 202,114,564.75
  5. Step 5: Solve for x
    x = 202,114,564.75/21,771
  6. Step 6: Final answer
    x = 9,283.66

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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.