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Finding the Fourth Proportional to 8,000, 12,000 and 2,528

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Solution

The fourth proportional to 8,000, 12,000 and 2,528 is: 3,792

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 12,000 = 2,528 : x
  2. Step 2: Convert to fraction form
    8,000/12,000 = 2,528/x
  3. Step 3: Cross multiply
    8,000x = 12,000 × 2,528
  4. Step 4: Simplify right side
    8,000x = 30,336,000
  5. Step 5: Solve for x
    x = 30,336,000/8,000
  6. Step 6: Final answer
    x = 3,792

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.