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Finding the Fourth Proportional to 18,527, 27,795.71 and 7,441.47

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Solution

The fourth proportional to 18,527, 27,795.71 and 7,441.47 is: 11,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527 : 27,795.71 = 7,441.47 : x
  2. Step 2: Convert to fraction form
    18,527/27,795.71 = 7,441.47/x
  3. Step 3: Cross multiply
    18,527x = 27,795.71 × 7,441.47
  4. Step 4: Simplify right side
    18,527x = 206,840,904.89
  5. Step 5: Solve for x
    x = 206,840,904.89/18,527
  6. Step 6: Final answer
    x = 11,164.30

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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.