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Finding the Fourth Proportional to 18,571.65, 27,857.20 and 7,478.05

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Solution

The fourth proportional to 18,571.65, 27,857.20 and 7,478.05 is: 11,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.65 : 27,857.20 = 7,478.05 : x
  2. Step 2: Convert to fraction form
    18,571.65/27,857.20 = 7,478.05/x
  3. Step 3: Cross multiply
    18,571.65x = 27,857.20 × 7,478.05
  4. Step 4: Simplify right side
    18,571.65x = 208,317,534.46
  5. Step 5: Solve for x
    x = 208,317,534.46/18,571.65
  6. Step 6: Final answer
    x = 11,216.96

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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.