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Finding the Fourth Proportional to 8,344.06, 12,511.90 and 3,075.34

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Solution

The fourth proportional to 8,344.06, 12,511.90 and 3,075.34 is: 4,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.06 : 12,511.90 = 3,075.34 : x
  2. Step 2: Convert to fraction form
    8,344.06/12,511.90 = 3,075.34/x
  3. Step 3: Cross multiply
    8,344.06x = 12,511.90 × 3,075.34
  4. Step 4: Simplify right side
    8,344.06x = 38,478,346.55
  5. Step 5: Solve for x
    x = 38,478,346.55/8,344.06
  6. Step 6: Final answer
    x = 4,611.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.