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Finding the Fourth Proportional to 13,305.20, 18,362 and 7,338.20

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Solution

The fourth proportional to 13,305.20, 18,362 and 7,338.20 is: 10,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.20 : 18,362 = 7,338.20 : x
  2. Step 2: Convert to fraction form
    13,305.20/18,362 = 7,338.20/x
  3. Step 3: Cross multiply
    13,305.20x = 18,362 × 7,338.20
  4. Step 4: Simplify right side
    13,305.20x = 134,744,028.40
  5. Step 5: Solve for x
    x = 134,744,028.40/13,305.20
  6. Step 6: Final answer
    x = 10,127.17

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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.