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Finding the Fourth Proportional to 15,829.50, 21,842.82 and 8,754.96

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Solution

The fourth proportional to 15,829.50, 21,842.82 and 8,754.96 is: 12,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.50 : 21,842.82 = 8,754.96 : x
  2. Step 2: Convert to fraction form
    15,829.50/21,842.82 = 8,754.96/x
  3. Step 3: Cross multiply
    15,829.50x = 21,842.82 × 8,754.96
  4. Step 4: Simplify right side
    15,829.50x = 191,233,015.39
  5. Step 5: Solve for x
    x = 191,233,015.39/15,829.50
  6. Step 6: Final answer
    x = 12,080.80

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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.