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Finding the Fourth Proportional to 9,076, 13,614 and 2,920

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Solution

The fourth proportional to 9,076, 13,614 and 2,920 is: 4,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076 : 13,614 = 2,920 : x
  2. Step 2: Convert to fraction form
    9,076/13,614 = 2,920/x
  3. Step 3: Cross multiply
    9,076x = 13,614 × 2,920
  4. Step 4: Simplify right side
    9,076x = 39,752,880
  5. Step 5: Solve for x
    x = 39,752,880/9,076
  6. Step 6: Final answer
    x = 4,380

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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.