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Finding the Fourth Proportional to 21,660, 32,490.16 and 5,244

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Solution

The fourth proportional to 21,660, 32,490.16 and 5,244 is: 7,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660 : 32,490.16 = 5,244 : x
  2. Step 2: Convert to fraction form
    21,660/32,490.16 = 5,244/x
  3. Step 3: Cross multiply
    21,660x = 32,490.16 × 5,244
  4. Step 4: Simplify right side
    21,660x = 170,378,399.04
  5. Step 5: Solve for x
    x = 170,378,399.04/21,660
  6. Step 6: Final answer
    x = 7,866.04

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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.