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Finding the Fourth Proportional to 10,380, 15,570 and 3,084

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Solution

The fourth proportional to 10,380, 15,570 and 3,084 is: 4,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 15,570 = 3,084 : x
  2. Step 2: Convert to fraction form
    10,380/15,570 = 3,084/x
  3. Step 3: Cross multiply
    10,380x = 15,570 × 3,084
  4. Step 4: Simplify right side
    10,380x = 48,017,880
  5. Step 5: Solve for x
    x = 48,017,880/10,380
  6. Step 6: Final answer
    x = 4,626

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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.