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Finding the Fourth Proportional to 11,376, 17,066.88 and 3,168

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Solution

The fourth proportional to 11,376, 17,066.88 and 3,168 is: 4,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 17,066.88 = 3,168 : x
  2. Step 2: Convert to fraction form
    11,376/17,066.88 = 3,168/x
  3. Step 3: Cross multiply
    11,376x = 17,066.88 × 3,168
  4. Step 4: Simplify right side
    11,376x = 54,067,875.84
  5. Step 5: Solve for x
    x = 54,067,875.84/11,376
  6. Step 6: Final answer
    x = 4,752.80

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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.