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Finding the Fourth Proportional to 8,548, 12,822 and 3,076

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Solution

The fourth proportional to 8,548, 12,822 and 3,076 is: 4,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548 : 12,822 = 3,076 : x
  2. Step 2: Convert to fraction form
    8,548/12,822 = 3,076/x
  3. Step 3: Cross multiply
    8,548x = 12,822 × 3,076
  4. Step 4: Simplify right side
    8,548x = 39,440,472
  5. Step 5: Solve for x
    x = 39,440,472/8,548
  6. Step 6: Final answer
    x = 4,614

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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.