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Finding the Fourth Proportional to 21,763.56, 32,646.60 and 6,180

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Solution

The fourth proportional to 21,763.56, 32,646.60 and 6,180 is: 9,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.56 : 32,646.60 = 6,180 : x
  2. Step 2: Convert to fraction form
    21,763.56/32,646.60 = 6,180/x
  3. Step 3: Cross multiply
    21,763.56x = 32,646.60 × 6,180
  4. Step 4: Simplify right side
    21,763.56x = 201,755,988
  5. Step 5: Solve for x
    x = 201,755,988/21,763.56
  6. Step 6: Final answer
    x = 9,270.36

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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.