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Finding the Fourth Proportional to 15,843.12, 21,864.20 and 8,769.54

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Solution

The fourth proportional to 15,843.12, 21,864.20 and 8,769.54 is: 12,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.12 : 21,864.20 = 8,769.54 : x
  2. Step 2: Convert to fraction form
    15,843.12/21,864.20 = 8,769.54/x
  3. Step 3: Cross multiply
    15,843.12x = 21,864.20 × 8,769.54
  4. Step 4: Simplify right side
    15,843.12x = 191,738,976.47
  5. Step 5: Solve for x
    x = 191,738,976.47/15,843.12
  6. Step 6: Final answer
    x = 12,102.35

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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.