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Finding the Fourth Proportional to 15,705.80, 21,674.34 and 8,632.34

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Solution

The fourth proportional to 15,705.80, 21,674.34 and 8,632.34 is: 11,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.80 : 21,674.34 = 8,632.34 : x
  2. Step 2: Convert to fraction form
    15,705.80/21,674.34 = 8,632.34/x
  3. Step 3: Cross multiply
    15,705.80x = 21,674.34 × 8,632.34
  4. Step 4: Simplify right side
    15,705.80x = 187,100,272.16
  5. Step 5: Solve for x
    x = 187,100,272.16/15,705.80
  6. Step 6: Final answer
    x = 11,912.81

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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.