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Finding the Fourth Proportional to 12,338.17, 18,477.60 and 7,057.17

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Solution

The fourth proportional to 12,338.17, 18,477.60 and 7,057.17 is: 10,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.17 : 18,477.60 = 7,057.17 : x
  2. Step 2: Convert to fraction form
    12,338.17/18,477.60 = 7,057.17/x
  3. Step 3: Cross multiply
    12,338.17x = 18,477.60 × 7,057.17
  4. Step 4: Simplify right side
    12,338.17x = 130,399,564.39
  5. Step 5: Solve for x
    x = 130,399,564.39/12,338.17
  6. Step 6: Final answer
    x = 10,568.79

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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.