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Finding the Fourth Proportional to 18,477.42, 27,716.13 and 6,785.58

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Solution

The fourth proportional to 18,477.42, 27,716.13 and 6,785.58 is: 10,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.42 : 27,716.13 = 6,785.58 : x
  2. Step 2: Convert to fraction form
    18,477.42/27,716.13 = 6,785.58/x
  3. Step 3: Cross multiply
    18,477.42x = 27,716.13 × 6,785.58
  4. Step 4: Simplify right side
    18,477.42x = 188,070,017.41
  5. Step 5: Solve for x
    x = 188,070,017.41/18,477.42
  6. Step 6: Final answer
    x = 10,178.37

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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.