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Finding the Fourth Proportional to 87,588, 131,382 and 21,924

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Solution

The fourth proportional to 87,588, 131,382 and 21,924 is: 32,886

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,588 : 131,382 = 21,924 : x
  2. Step 2: Convert to fraction form
    87,588/131,382 = 21,924/x
  3. Step 3: Cross multiply
    87,588x = 131,382 × 21,924
  4. Step 4: Simplify right side
    87,588x = 2,880,418,968
  5. Step 5: Solve for x
    x = 2,880,418,968/87,588
  6. Step 6: Final answer
    x = 32,886

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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.