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Finding the Fourth Proportional to 18,894.42, 28,332.32 and 6,409.89

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Solution

The fourth proportional to 18,894.42, 28,332.32 and 6,409.89 is: 9,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.42 : 28,332.32 = 6,409.89 : x
  2. Step 2: Convert to fraction form
    18,894.42/28,332.32 = 6,409.89/x
  3. Step 3: Cross multiply
    18,894.42x = 28,332.32 × 6,409.89
  4. Step 4: Simplify right side
    18,894.42x = 181,607,022.60
  5. Step 5: Solve for x
    x = 181,607,022.60/18,894.42
  6. Step 6: Final answer
    x = 9,611.67

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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.