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Finding the Fourth Proportional to 18,675, 28,013.04 and 4,824

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Solution

The fourth proportional to 18,675, 28,013.04 and 4,824 is: 7,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675 : 28,013.04 = 4,824 : x
  2. Step 2: Convert to fraction form
    18,675/28,013.04 = 4,824/x
  3. Step 3: Cross multiply
    18,675x = 28,013.04 × 4,824
  4. Step 4: Simplify right side
    18,675x = 135,134,904.96
  5. Step 5: Solve for x
    x = 135,134,904.96/18,675
  6. Step 6: Final answer
    x = 7,236.14

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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.