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Finding the Fourth Proportional to 5,624, 8,436 and 1,520

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Solution

The fourth proportional to 5,624, 8,436 and 1,520 is: 2,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624 : 8,436 = 1,520 : x
  2. Step 2: Convert to fraction form
    5,624/8,436 = 1,520/x
  3. Step 3: Cross multiply
    5,624x = 8,436 × 1,520
  4. Step 4: Simplify right side
    5,624x = 12,822,720
  5. Step 5: Solve for x
    x = 12,822,720/5,624
  6. Step 6: Final answer
    x = 2,280

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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.