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Finding the Fourth Proportional to 6,555.34, 9,834.18 and 3,092.50

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Solution

The fourth proportional to 6,555.34, 9,834.18 and 3,092.50 is: 4,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.34 : 9,834.18 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    6,555.34/9,834.18 = 3,092.50/x
  3. Step 3: Cross multiply
    6,555.34x = 9,834.18 × 3,092.50
  4. Step 4: Simplify right side
    6,555.34x = 30,412,201.65
  5. Step 5: Solve for x
    x = 30,412,201.65/6,555.34
  6. Step 6: Final answer
    x = 4,639.30

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Why These Related Problems?

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