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Finding the Fourth Proportional to 20,586, 28,408.68 and 11,154.57

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Solution

The fourth proportional to 20,586, 28,408.68 and 11,154.57 is: 15,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 28,408.68 = 11,154.57 : x
  2. Step 2: Convert to fraction form
    20,586/28,408.68 = 11,154.57/x
  3. Step 3: Cross multiply
    20,586x = 28,408.68 × 11,154.57
  4. Step 4: Simplify right side
    20,586x = 316,886,609.67
  5. Step 5: Solve for x
    x = 316,886,609.67/20,586
  6. Step 6: Final answer
    x = 15,393.31

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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.