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Finding the Fourth Proportional to 19,680.48, 29,529 and 8,589.96

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Solution

The fourth proportional to 19,680.48, 29,529 and 8,589.96 is: 12,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.48 : 29,529 = 8,589.96 : x
  2. Step 2: Convert to fraction form
    19,680.48/29,529 = 8,589.96/x
  3. Step 3: Cross multiply
    19,680.48x = 29,529 × 8,589.96
  4. Step 4: Simplify right side
    19,680.48x = 253,652,928.84
  5. Step 5: Solve for x
    x = 253,652,928.84/19,680.48
  6. Step 6: Final answer
    x = 12,888.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.