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Finding the Fourth Proportional to 20,585, 30,877.50 and 6,734

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Solution

The fourth proportional to 20,585, 30,877.50 and 6,734 is: 10,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 30,877.50 = 6,734 : x
  2. Step 2: Convert to fraction form
    20,585/30,877.50 = 6,734/x
  3. Step 3: Cross multiply
    20,585x = 30,877.50 × 6,734
  4. Step 4: Simplify right side
    20,585x = 207,929,085
  5. Step 5: Solve for x
    x = 207,929,085/20,585
  6. Step 6: Final answer
    x = 10,101

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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.