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Finding the Fourth Proportional to 15,832.80, 21,849.48 and 9,866.88

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Solution

The fourth proportional to 15,832.80, 21,849.48 and 9,866.88 is: 13,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.80 : 21,849.48 = 9,866.88 : x
  2. Step 2: Convert to fraction form
    15,832.80/21,849.48 = 9,866.88/x
  3. Step 3: Cross multiply
    15,832.80x = 21,849.48 × 9,866.88
  4. Step 4: Simplify right side
    15,832.80x = 215,586,197.22
  5. Step 5: Solve for x
    x = 215,586,197.22/15,832.80
  6. Step 6: Final answer
    x = 13,616.43

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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.