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Finding the Fourth Proportional to 21,880, 32,820 and 5,464

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Solution

The fourth proportional to 21,880, 32,820 and 5,464 is: 8,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880 : 32,820 = 5,464 : x
  2. Step 2: Convert to fraction form
    21,880/32,820 = 5,464/x
  3. Step 3: Cross multiply
    21,880x = 32,820 × 5,464
  4. Step 4: Simplify right side
    21,880x = 179,328,480
  5. Step 5: Solve for x
    x = 179,328,480/21,880
  6. Step 6: Final answer
    x = 8,196

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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.