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Finding the Fourth Proportional to 13,441.68, 20,171.16 and 7,290

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Solution

The fourth proportional to 13,441.68, 20,171.16 and 7,290 is: 10,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.68 : 20,171.16 = 7,290 : x
  2. Step 2: Convert to fraction form
    13,441.68/20,171.16 = 7,290/x
  3. Step 3: Cross multiply
    13,441.68x = 20,171.16 × 7,290
  4. Step 4: Simplify right side
    13,441.68x = 147,047,756.40
  5. Step 5: Solve for x
    x = 147,047,756.40/13,441.68
  6. Step 6: Final answer
    x = 10,939.69

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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.