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Finding the Fourth Proportional to 20,665.52, 28,525.84 and 12,282

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Solution

The fourth proportional to 20,665.52, 28,525.84 and 12,282 is: 16,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.52 : 28,525.84 = 12,282 : x
  2. Step 2: Convert to fraction form
    20,665.52/28,525.84 = 12,282/x
  3. Step 3: Cross multiply
    20,665.52x = 28,525.84 × 12,282
  4. Step 4: Simplify right side
    20,665.52x = 350,354,366.88
  5. Step 5: Solve for x
    x = 350,354,366.88/20,665.52
  6. Step 6: Final answer
    x = 16,953.57

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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.