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Finding the Fourth Proportional to 6,897, 10,351.12 and 3,199.76

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Solution

The fourth proportional to 6,897, 10,351.12 and 3,199.76 is: 4,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 10,351.12 = 3,199.76 : x
  2. Step 2: Convert to fraction form
    6,897/10,351.12 = 3,199.76/x
  3. Step 3: Cross multiply
    6,897x = 10,351.12 × 3,199.76
  4. Step 4: Simplify right side
    6,897x = 33,121,099.73
  5. Step 5: Solve for x
    x = 33,121,099.73/6,897
  6. Step 6: Final answer
    x = 4,802.25

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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.