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Finding the Fourth Proportional to 7,304.50, 10,080.37 and 3,992.50

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Solution

The fourth proportional to 7,304.50, 10,080.37 and 3,992.50 is: 5,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.50 : 10,080.37 = 3,992.50 : x
  2. Step 2: Convert to fraction form
    7,304.50/10,080.37 = 3,992.50/x
  3. Step 3: Cross multiply
    7,304.50x = 10,080.37 × 3,992.50
  4. Step 4: Simplify right side
    7,304.50x = 40,245,877.23
  5. Step 5: Solve for x
    x = 40,245,877.23/7,304.50
  6. Step 6: Final answer
    x = 5,509.74

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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.