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Finding the Fourth Proportional to 20,842.84, 28,762 and 11,409.58

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Solution

The fourth proportional to 20,842.84, 28,762 and 11,409.58 is: 15,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.84 : 28,762 = 11,409.58 : x
  2. Step 2: Convert to fraction form
    20,842.84/28,762 = 11,409.58/x
  3. Step 3: Cross multiply
    20,842.84x = 28,762 × 11,409.58
  4. Step 4: Simplify right side
    20,842.84x = 328,162,339.96
  5. Step 5: Solve for x
    x = 328,162,339.96/20,842.84
  6. Step 6: Final answer
    x = 15,744.61

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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.