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Finding the Fourth Proportional to 6,543.09, 9,815.40 and 2,099.19

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Solution

The fourth proportional to 6,543.09, 9,815.40 and 2,099.19 is: 3,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.09 : 9,815.40 = 2,099.19 : x
  2. Step 2: Convert to fraction form
    6,543.09/9,815.40 = 2,099.19/x
  3. Step 3: Cross multiply
    6,543.09x = 9,815.40 × 2,099.19
  4. Step 4: Simplify right side
    6,543.09x = 20,604,389.53
  5. Step 5: Solve for x
    x = 20,604,389.53/6,543.09
  6. Step 6: Final answer
    x = 3,149.03

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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.