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Finding the Fourth Proportional to 30,421.42, 41,981.10 and 16,992.87

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Solution

The fourth proportional to 30,421.42, 41,981.10 and 16,992.87 is: 23,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.42 : 41,981.10 = 16,992.87 : x
  2. Step 2: Convert to fraction form
    30,421.42/41,981.10 = 16,992.87/x
  3. Step 3: Cross multiply
    30,421.42x = 41,981.10 × 16,992.87
  4. Step 4: Simplify right side
    30,421.42x = 713,379,164.85
  5. Step 5: Solve for x
    x = 713,379,164.85/30,421.42
  6. Step 6: Final answer
    x = 23,449.90

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1.5x scale

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.