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Finding the Fourth Proportional to 7,137.30, 9,848.04 and 3,992.88

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Solution

The fourth proportional to 7,137.30, 9,848.04 and 3,992.88 is: 5,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.30 : 9,848.04 = 3,992.88 : x
  2. Step 2: Convert to fraction form
    7,137.30/9,848.04 = 3,992.88/x
  3. Step 3: Cross multiply
    7,137.30x = 9,848.04 × 3,992.88
  4. Step 4: Simplify right side
    7,137.30x = 39,322,041.96
  5. Step 5: Solve for x
    x = 39,322,041.96/7,137.30
  6. Step 6: Final answer
    x = 5,509.37

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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.