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Finding the Fourth Proportional to 18,792, 28,190.84 and 5,644.08

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Solution

The fourth proportional to 18,792, 28,190.84 and 5,644.08 is: 8,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,792 : 28,190.84 = 5,644.08 : x
  2. Step 2: Convert to fraction form
    18,792/28,190.84 = 5,644.08/x
  3. Step 3: Cross multiply
    18,792x = 28,190.84 × 5,644.08
  4. Step 4: Simplify right side
    18,792x = 159,111,328.01
  5. Step 5: Solve for x
    x = 159,111,328.01/18,792
  6. Step 6: Final answer
    x = 8,466.97

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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.