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Finding the Fourth Proportional to 18,375, 27,563.76 and 7,281.68

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Solution

The fourth proportional to 18,375, 27,563.76 and 7,281.68 is: 10,923.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,375 : 27,563.76 = 7,281.68 : x
  2. Step 2: Convert to fraction form
    18,375/27,563.76 = 7,281.68/x
  3. Step 3: Cross multiply
    18,375x = 27,563.76 × 7,281.68
  4. Step 4: Simplify right side
    18,375x = 200,710,342.10
  5. Step 5: Solve for x
    x = 200,710,342.10/18,375
  6. Step 6: Final answer
    x = 10,923.01

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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.