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Finding the Fourth Proportional to 2,376, 3,564 and 1,008

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Solution

The fourth proportional to 2,376, 3,564 and 1,008 is: 1,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,564 = 1,008 : x
  2. Step 2: Convert to fraction form
    2,376/3,564 = 1,008/x
  3. Step 3: Cross multiply
    2,376x = 3,564 × 1,008
  4. Step 4: Simplify right side
    2,376x = 3,592,512
  5. Step 5: Solve for x
    x = 3,592,512/2,376
  6. Step 6: Final answer
    x = 1,512

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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.