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Finding the Fourth Proportional to 7,243.18, 9,995.74 and 5,651.64

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Solution

The fourth proportional to 7,243.18, 9,995.74 and 5,651.64 is: 7,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.18 : 9,995.74 = 5,651.64 : x
  2. Step 2: Convert to fraction form
    7,243.18/9,995.74 = 5,651.64/x
  3. Step 3: Cross multiply
    7,243.18x = 9,995.74 × 5,651.64
  4. Step 4: Simplify right side
    7,243.18x = 56,492,309.88
  5. Step 5: Solve for x
    x = 56,492,309.88/7,243.18
  6. Step 6: Final answer
    x = 7,799.38

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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.