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Finding the Fourth Proportional to 21,786, 32,679 and 5,370

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Solution

The fourth proportional to 21,786, 32,679 and 5,370 is: 8,055

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786 : 32,679 = 5,370 : x
  2. Step 2: Convert to fraction form
    21,786/32,679 = 5,370/x
  3. Step 3: Cross multiply
    21,786x = 32,679 × 5,370
  4. Step 4: Simplify right side
    21,786x = 175,486,230
  5. Step 5: Solve for x
    x = 175,486,230/21,786
  6. Step 6: Final answer
    x = 8,055

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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.