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Finding the Fourth Proportional to 30,336, 45,504 and 8,448

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Solution

The fourth proportional to 30,336, 45,504 and 8,448 is: 12,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 45,504 = 8,448 : x
  2. Step 2: Convert to fraction form
    30,336/45,504 = 8,448/x
  3. Step 3: Cross multiply
    30,336x = 45,504 × 8,448
  4. Step 4: Simplify right side
    30,336x = 384,417,792
  5. Step 5: Solve for x
    x = 384,417,792/30,336
  6. Step 6: Final answer
    x = 12,672

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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.