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Finding the Fourth Proportional to 21,281, 31,921.50 and 6,689

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Solution

The fourth proportional to 21,281, 31,921.50 and 6,689 is: 10,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281 : 31,921.50 = 6,689 : x
  2. Step 2: Convert to fraction form
    21,281/31,921.50 = 6,689/x
  3. Step 3: Cross multiply
    21,281x = 31,921.50 × 6,689
  4. Step 4: Simplify right side
    21,281x = 213,522,913.50
  5. Step 5: Solve for x
    x = 213,522,913.50/21,281
  6. Step 6: Final answer
    x = 10,033.50

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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.