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Finding the Fourth Proportional to 18,968.81, 28,463.49 and 7,883.15

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Solution

The fourth proportional to 18,968.81, 28,463.49 and 7,883.15 is: 11,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968.81 : 28,463.49 = 7,883.15 : x
  2. Step 2: Convert to fraction form
    18,968.81/28,463.49 = 7,883.15/x
  3. Step 3: Cross multiply
    18,968.81x = 28,463.49 × 7,883.15
  4. Step 4: Simplify right side
    18,968.81x = 224,381,818.88
  5. Step 5: Solve for x
    x = 224,381,818.88/18,968.81
  6. Step 6: Final answer
    x = 11,828.99

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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.