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Finding the Fourth Proportional to 7,135.76, 9,847.72 and 3,992

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Solution

The fourth proportional to 7,135.76, 9,847.72 and 3,992 is: 5,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.76 : 9,847.72 = 3,992 : x
  2. Step 2: Convert to fraction form
    7,135.76/9,847.72 = 3,992/x
  3. Step 3: Cross multiply
    7,135.76x = 9,847.72 × 3,992
  4. Step 4: Simplify right side
    7,135.76x = 39,312,098.24
  5. Step 5: Solve for x
    x = 39,312,098.24/7,135.76
  6. Step 6: Final answer
    x = 5,509.17

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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.