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Finding the Fourth Proportional to 7,007.56, 10,511.82 and 2,077

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Solution

The fourth proportional to 7,007.56, 10,511.82 and 2,077 is: 3,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.56 : 10,511.82 = 2,077 : x
  2. Step 2: Convert to fraction form
    7,007.56/10,511.82 = 2,077/x
  3. Step 3: Cross multiply
    7,007.56x = 10,511.82 × 2,077
  4. Step 4: Simplify right side
    7,007.56x = 21,833,050.14
  5. Step 5: Solve for x
    x = 21,833,050.14/7,007.56
  6. Step 6: Final answer
    x = 3,115.64

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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.