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Finding the Fourth Proportional to 20,137.84, 30,199.92 and 7,654.86

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Solution

The fourth proportional to 20,137.84, 30,199.92 and 7,654.86 is: 11,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.84 : 30,199.92 = 7,654.86 : x
  2. Step 2: Convert to fraction form
    20,137.84/30,199.92 = 7,654.86/x
  3. Step 3: Cross multiply
    20,137.84x = 30,199.92 × 7,654.86
  4. Step 4: Simplify right side
    20,137.84x = 231,176,159.61
  5. Step 5: Solve for x
    x = 231,176,159.61/20,137.84
  6. Step 6: Final answer
    x = 11,479.69

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1.5x scale

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.