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Finding the Fourth Proportional to 6,897.69, 9,517.50 and 4,380.21

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Solution

The fourth proportional to 6,897.69, 9,517.50 and 4,380.21 is: 6,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.69 : 9,517.50 = 4,380.21 : x
  2. Step 2: Convert to fraction form
    6,897.69/9,517.50 = 4,380.21/x
  3. Step 3: Cross multiply
    6,897.69x = 9,517.50 × 4,380.21
  4. Step 4: Simplify right side
    6,897.69x = 41,688,648.68
  5. Step 5: Solve for x
    x = 41,688,648.68/6,897.69
  6. Step 6: Final answer
    x = 6,043.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.