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Finding the Fourth Proportional to 21,946, 32,919 and 5,530

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Solution

The fourth proportional to 21,946, 32,919 and 5,530 is: 8,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946 : 32,919 = 5,530 : x
  2. Step 2: Convert to fraction form
    21,946/32,919 = 5,530/x
  3. Step 3: Cross multiply
    21,946x = 32,919 × 5,530
  4. Step 4: Simplify right side
    21,946x = 182,042,070
  5. Step 5: Solve for x
    x = 182,042,070/21,946
  6. Step 6: Final answer
    x = 8,295

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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.