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Finding the Fourth Proportional to 30,409.65, 41,964.93 and 16,981.14

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Solution

The fourth proportional to 30,409.65, 41,964.93 and 16,981.14 is: 23,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.65 : 41,964.93 = 16,981.14 : x
  2. Step 2: Convert to fraction form
    30,409.65/41,964.93 = 16,981.14/x
  3. Step 3: Cross multiply
    30,409.65x = 41,964.93 × 16,981.14
  4. Step 4: Simplify right side
    30,409.65x = 712,612,351.42
  5. Step 5: Solve for x
    x = 712,612,351.42/30,409.65
  6. Step 6: Final answer
    x = 23,433.76

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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.