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Finding the Fourth Proportional to 30,152, 41,613.60 and 16,904

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Solution

The fourth proportional to 30,152, 41,613.60 and 16,904 is: 23,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152 : 41,613.60 = 16,904 : x
  2. Step 2: Convert to fraction form
    30,152/41,613.60 = 16,904/x
  3. Step 3: Cross multiply
    30,152x = 41,613.60 × 16,904
  4. Step 4: Simplify right side
    30,152x = 703,436,294.40
  5. Step 5: Solve for x
    x = 703,436,294.40/30,152
  6. Step 6: Final answer
    x = 23,329.67

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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.