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Finding the Fourth Proportional to 8,039.76, 11,075.04 and 6,990

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Solution

The fourth proportional to 8,039.76, 11,075.04 and 6,990 is: 9,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.76 : 11,075.04 = 6,990 : x
  2. Step 2: Convert to fraction form
    8,039.76/11,075.04 = 6,990/x
  3. Step 3: Cross multiply
    8,039.76x = 11,075.04 × 6,990
  4. Step 4: Simplify right side
    8,039.76x = 77,414,529.60
  5. Step 5: Solve for x
    x = 77,414,529.60/8,039.76
  6. Step 6: Final answer
    x = 9,628.96

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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.