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Finding the Fourth Proportional to 7,199.38, 9,935.08 and 4,012.64

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Solution

The fourth proportional to 7,199.38, 9,935.08 and 4,012.64 is: 5,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.38 : 9,935.08 = 4,012.64 : x
  2. Step 2: Convert to fraction form
    7,199.38/9,935.08 = 4,012.64/x
  3. Step 3: Cross multiply
    7,199.38x = 9,935.08 × 4,012.64
  4. Step 4: Simplify right side
    7,199.38x = 39,865,899.41
  5. Step 5: Solve for x
    x = 39,865,899.41/7,199.38
  6. Step 6: Final answer
    x = 5,537.41

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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.