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Finding the Fourth Proportional to 7,982.71, 10,997.78 and 6,303.50

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Solution

The fourth proportional to 7,982.71, 10,997.78 and 6,303.50 is: 8,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.71 : 10,997.78 = 6,303.50 : x
  2. Step 2: Convert to fraction form
    7,982.71/10,997.78 = 6,303.50/x
  3. Step 3: Cross multiply
    7,982.71x = 10,997.78 × 6,303.50
  4. Step 4: Simplify right side
    7,982.71x = 69,324,419.72
  5. Step 5: Solve for x
    x = 69,324,419.72/7,982.71
  6. Step 6: Final answer
    x = 8,684.32

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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.