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Finding the Fourth Proportional to 33,677.55, 50,516.08 and 9,985.20

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Solution

The fourth proportional to 33,677.55, 50,516.08 and 9,985.20 is: 14,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677.55 : 50,516.08 = 9,985.20 : x
  2. Step 2: Convert to fraction form
    33,677.55/50,516.08 = 9,985.20/x
  3. Step 3: Cross multiply
    33,677.55x = 50,516.08 × 9,985.20
  4. Step 4: Simplify right side
    33,677.55x = 504,413,162.02
  5. Step 5: Solve for x
    x = 504,413,162.02/33,677.55
  6. Step 6: Final answer
    x = 14,977.73

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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.