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Finding the Fourth Proportional to 21,820, 32,730 and 5,404

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Solution

The fourth proportional to 21,820, 32,730 and 5,404 is: 8,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 32,730 = 5,404 : x
  2. Step 2: Convert to fraction form
    21,820/32,730 = 5,404/x
  3. Step 3: Cross multiply
    21,820x = 32,730 × 5,404
  4. Step 4: Simplify right side
    21,820x = 176,872,920
  5. Step 5: Solve for x
    x = 176,872,920/21,820
  6. Step 6: Final answer
    x = 8,106

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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.