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Finding the Fourth Proportional to 30,655.84, 45,992.24 and 12,200.80

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Solution

The fourth proportional to 30,655.84, 45,992.24 and 12,200.80 is: 18,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.84 : 45,992.24 = 12,200.80 : x
  2. Step 2: Convert to fraction form
    30,655.84/45,992.24 = 12,200.80/x
  3. Step 3: Cross multiply
    30,655.84x = 45,992.24 × 12,200.80
  4. Step 4: Simplify right side
    30,655.84x = 561,142,121.79
  5. Step 5: Solve for x
    x = 561,142,121.79/30,655.84
  6. Step 6: Final answer
    x = 18,304.57

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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.