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Finding the Fourth Proportional to 41,616, 62,424 and 12,432

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Solution

The fourth proportional to 41,616, 62,424 and 12,432 is: 18,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616 : 62,424 = 12,432 : x
  2. Step 2: Convert to fraction form
    41,616/62,424 = 12,432/x
  3. Step 3: Cross multiply
    41,616x = 62,424 × 12,432
  4. Step 4: Simplify right side
    41,616x = 776,055,168
  5. Step 5: Solve for x
    x = 776,055,168/41,616
  6. Step 6: Final answer
    x = 18,648

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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.