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Finding the Fourth Proportional to 7,012.36, 9,676.90 and 3,868.52

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Solution

The fourth proportional to 7,012.36, 9,676.90 and 3,868.52 is: 5,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.36 : 9,676.90 = 3,868.52 : x
  2. Step 2: Convert to fraction form
    7,012.36/9,676.90 = 3,868.52/x
  3. Step 3: Cross multiply
    7,012.36x = 9,676.90 × 3,868.52
  4. Step 4: Simplify right side
    7,012.36x = 37,435,281.19
  5. Step 5: Solve for x
    x = 37,435,281.19/7,012.36
  6. Step 6: Final answer
    x = 5,338.47

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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.