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Finding the Fourth Proportional to 29,448, 40,638.24 and 16,200

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Solution

The fourth proportional to 29,448, 40,638.24 and 16,200 is: 22,356

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448 : 40,638.24 = 16,200 : x
  2. Step 2: Convert to fraction form
    29,448/40,638.24 = 16,200/x
  3. Step 3: Cross multiply
    29,448x = 40,638.24 × 16,200
  4. Step 4: Simplify right side
    29,448x = 658,339,488
  5. Step 5: Solve for x
    x = 658,339,488/29,448
  6. Step 6: Final answer
    x = 22,356

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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.