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Finding the Fourth Proportional to 12,960.20, 17,884.96 and 7,371.20

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Solution

The fourth proportional to 12,960.20, 17,884.96 and 7,371.20 is: 10,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.20 : 17,884.96 = 7,371.20 : x
  2. Step 2: Convert to fraction form
    12,960.20/17,884.96 = 7,371.20/x
  3. Step 3: Cross multiply
    12,960.20x = 17,884.96 × 7,371.20
  4. Step 4: Simplify right side
    12,960.20x = 131,833,509.30
  5. Step 5: Solve for x
    x = 131,833,509.30/12,960.20
  6. Step 6: Final answer
    x = 10,172.19

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1.5x scale

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.