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Finding the Fourth Proportional to 18,966.42, 28,453.02 and 7,874.01

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Solution

The fourth proportional to 18,966.42, 28,453.02 and 7,874.01 is: 11,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966.42 : 28,453.02 = 7,874.01 : x
  2. Step 2: Convert to fraction form
    18,966.42/28,453.02 = 7,874.01/x
  3. Step 3: Cross multiply
    18,966.42x = 28,453.02 × 7,874.01
  4. Step 4: Simplify right side
    18,966.42x = 224,039,364.01
  5. Step 5: Solve for x
    x = 224,039,364.01/18,966.42
  6. Step 6: Final answer
    x = 11,812.42

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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.