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Finding the Fourth Proportional to 21,784, 32,676 and 5,368

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Solution

The fourth proportional to 21,784, 32,676 and 5,368 is: 8,052

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 32,676 = 5,368 : x
  2. Step 2: Convert to fraction form
    21,784/32,676 = 5,368/x
  3. Step 3: Cross multiply
    21,784x = 32,676 × 5,368
  4. Step 4: Simplify right side
    21,784x = 175,404,768
  5. Step 5: Solve for x
    x = 175,404,768/21,784
  6. Step 6: Final answer
    x = 8,052

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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.