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Finding the Fourth Proportional to 21,858, 32,787 and 5,442

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Solution

The fourth proportional to 21,858, 32,787 and 5,442 is: 8,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858 : 32,787 = 5,442 : x
  2. Step 2: Convert to fraction form
    21,858/32,787 = 5,442/x
  3. Step 3: Cross multiply
    21,858x = 32,787 × 5,442
  4. Step 4: Simplify right side
    21,858x = 178,426,854
  5. Step 5: Solve for x
    x = 178,426,854/21,858
  6. Step 6: Final answer
    x = 8,163

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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.