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Finding the Fourth Proportional to 6,611.50, 9,124.14 and 3,817

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Solution

The fourth proportional to 6,611.50, 9,124.14 and 3,817 is: 5,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.50 : 9,124.14 = 3,817 : x
  2. Step 2: Convert to fraction form
    6,611.50/9,124.14 = 3,817/x
  3. Step 3: Cross multiply
    6,611.50x = 9,124.14 × 3,817
  4. Step 4: Simplify right side
    6,611.50x = 34,826,842.38
  5. Step 5: Solve for x
    x = 34,826,842.38/6,611.50
  6. Step 6: Final answer
    x = 5,267.62

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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.