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Finding the Fourth Proportional to 7,897.30, 11,859.99 and 6,819.46

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Solution

The fourth proportional to 7,897.30, 11,859.99 and 6,819.46 is: 10,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.30 : 11,859.99 = 6,819.46 : x
  2. Step 2: Convert to fraction form
    7,897.30/11,859.99 = 6,819.46/x
  3. Step 3: Cross multiply
    7,897.30x = 11,859.99 × 6,819.46
  4. Step 4: Simplify right side
    7,897.30x = 80,878,727.41
  5. Step 5: Solve for x
    x = 80,878,727.41/7,897.30
  6. Step 6: Final answer
    x = 10,241.31

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1.5x scale

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.