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Finding the Fourth Proportional to 12,396.80, 18,583.68 and 7,201.28

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Solution

The fourth proportional to 12,396.80, 18,583.68 and 7,201.28 is: 10,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.80 : 18,583.68 = 7,201.28 : x
  2. Step 2: Convert to fraction form
    12,396.80/18,583.68 = 7,201.28/x
  3. Step 3: Cross multiply
    12,396.80x = 18,583.68 × 7,201.28
  4. Step 4: Simplify right side
    12,396.80x = 133,826,283.11
  5. Step 5: Solve for x
    x = 133,826,283.11/12,396.80
  6. Step 6: Final answer
    x = 10,795.23

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1.5x scale

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.