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Finding the Fourth Proportional to 9,616, 14,424 and 2,320

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Solution

The fourth proportional to 9,616, 14,424 and 2,320 is: 3,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 14,424 = 2,320 : x
  2. Step 2: Convert to fraction form
    9,616/14,424 = 2,320/x
  3. Step 3: Cross multiply
    9,616x = 14,424 × 2,320
  4. Step 4: Simplify right side
    9,616x = 33,463,680
  5. Step 5: Solve for x
    x = 33,463,680/9,616
  6. Step 6: Final answer
    x = 3,480

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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.