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Finding the Fourth Proportional to 7,992.75, 11,031.57 and 4,636.29

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Solution

The fourth proportional to 7,992.75, 11,031.57 and 4,636.29 is: 6,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.75 : 11,031.57 = 4,636.29 : x
  2. Step 2: Convert to fraction form
    7,992.75/11,031.57 = 4,636.29/x
  3. Step 3: Cross multiply
    7,992.75x = 11,031.57 × 4,636.29
  4. Step 4: Simplify right side
    7,992.75x = 51,145,557.68
  5. Step 5: Solve for x
    x = 51,145,557.68/7,992.75
  6. Step 6: Final answer
    x = 6,398.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.