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Finding the Fourth Proportional to 15,879.88, 21,912.06 and 9,164.80

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Solution

The fourth proportional to 15,879.88, 21,912.06 and 9,164.80 is: 12,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.88 : 21,912.06 = 9,164.80 : x
  2. Step 2: Convert to fraction form
    15,879.88/21,912.06 = 9,164.80/x
  3. Step 3: Cross multiply
    15,879.88x = 21,912.06 × 9,164.80
  4. Step 4: Simplify right side
    15,879.88x = 200,819,647.49
  5. Step 5: Solve for x
    x = 200,819,647.49/15,879.88
  6. Step 6: Final answer
    x = 12,646.17

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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.