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Finding the Fourth Proportional to 7,270.56, 10,900.80 and 3,985.20

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Solution

The fourth proportional to 7,270.56, 10,900.80 and 3,985.20 is: 5,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.56 : 10,900.80 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    7,270.56/10,900.80 = 3,985.20/x
  3. Step 3: Cross multiply
    7,270.56x = 10,900.80 × 3,985.20
  4. Step 4: Simplify right side
    7,270.56x = 43,441,868.16
  5. Step 5: Solve for x
    x = 43,441,868.16/7,270.56
  6. Step 6: Final answer
    x = 5,975.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.