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Finding the Fourth Proportional to 15,722.82, 21,698.10 and 8,649.54

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Solution

The fourth proportional to 15,722.82, 21,698.10 and 8,649.54 is: 11,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.82 : 21,698.10 = 8,649.54 : x
  2. Step 2: Convert to fraction form
    15,722.82/21,698.10 = 8,649.54/x
  3. Step 3: Cross multiply
    15,722.82x = 21,698.10 × 8,649.54
  4. Step 4: Simplify right side
    15,722.82x = 187,678,583.87
  5. Step 5: Solve for x
    x = 187,678,583.87/15,722.82
  6. Step 6: Final answer
    x = 11,936.70

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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.