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Finding the Fourth Proportional to 21,516, 32,274 and 6,924

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Solution

The fourth proportional to 21,516, 32,274 and 6,924 is: 10,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516 : 32,274 = 6,924 : x
  2. Step 2: Convert to fraction form
    21,516/32,274 = 6,924/x
  3. Step 3: Cross multiply
    21,516x = 32,274 × 6,924
  4. Step 4: Simplify right side
    21,516x = 223,465,176
  5. Step 5: Solve for x
    x = 223,465,176/21,516
  6. Step 6: Final answer
    x = 10,386

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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.