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Finding the Fourth Proportional to 15,542.68, 21,448.92 and 8,469.10

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Solution

The fourth proportional to 15,542.68, 21,448.92 and 8,469.10 is: 11,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.68 : 21,448.92 = 8,469.10 : x
  2. Step 2: Convert to fraction form
    15,542.68/21,448.92 = 8,469.10/x
  3. Step 3: Cross multiply
    15,542.68x = 21,448.92 × 8,469.10
  4. Step 4: Simplify right side
    15,542.68x = 181,653,048.37
  5. Step 5: Solve for x
    x = 181,653,048.37/15,542.68
  6. Step 6: Final answer
    x = 11,687.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.