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Finding the Fourth Proportional to 7,619, 10,503.88 and 6,511.83

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Solution

The fourth proportional to 7,619, 10,503.88 and 6,511.83 is: 8,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,619 : 10,503.88 = 6,511.83 : x
  2. Step 2: Convert to fraction form
    7,619/10,503.88 = 6,511.83/x
  3. Step 3: Cross multiply
    7,619x = 10,503.88 × 6,511.83
  4. Step 4: Simplify right side
    7,619x = 68,399,480.90
  5. Step 5: Solve for x
    x = 68,399,480.90/7,619
  6. Step 6: Final answer
    x = 8,977.49

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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.