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Finding the Fourth Proportional to 18,731.18, 28,099.54 and 7,047.14

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Solution

The fourth proportional to 18,731.18, 28,099.54 and 7,047.14 is: 10,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.18 : 28,099.54 = 7,047.14 : x
  2. Step 2: Convert to fraction form
    18,731.18/28,099.54 = 7,047.14/x
  3. Step 3: Cross multiply
    18,731.18x = 28,099.54 × 7,047.14
  4. Step 4: Simplify right side
    18,731.18x = 198,021,392.32
  5. Step 5: Solve for x
    x = 198,021,392.32/18,731.18
  6. Step 6: Final answer
    x = 10,571.75

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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.