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Finding the Fourth Proportional to 7,272.50, 10,036.05 and 3,960.50

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Solution

The fourth proportional to 7,272.50, 10,036.05 and 3,960.50 is: 5,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.50 : 10,036.05 = 3,960.50 : x
  2. Step 2: Convert to fraction form
    7,272.50/10,036.05 = 3,960.50/x
  3. Step 3: Cross multiply
    7,272.50x = 10,036.05 × 3,960.50
  4. Step 4: Simplify right side
    7,272.50x = 39,747,776.03
  5. Step 5: Solve for x
    x = 39,747,776.03/7,272.50
  6. Step 6: Final answer
    x = 5,465.49

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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.