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Finding the Fourth Proportional to 13,506, 20,270.36 and 7,270.64

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Solution

The fourth proportional to 13,506, 20,270.36 and 7,270.64 is: 10,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,270.36 = 7,270.64 : x
  2. Step 2: Convert to fraction form
    13,506/20,270.36 = 7,270.64/x
  3. Step 3: Cross multiply
    13,506x = 20,270.36 × 7,270.64
  4. Step 4: Simplify right side
    13,506x = 147,378,490.23
  5. Step 5: Solve for x
    x = 147,378,490.23/13,506
  6. Step 6: Final answer
    x = 10,912.08

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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.