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Finding the Fourth Proportional to 18,792, 28,192.32 and 6,480

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Solution

The fourth proportional to 18,792, 28,192.32 and 6,480 is: 9,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,792 : 28,192.32 = 6,480 : x
  2. Step 2: Convert to fraction form
    18,792/28,192.32 = 6,480/x
  3. Step 3: Cross multiply
    18,792x = 28,192.32 × 6,480
  4. Step 4: Simplify right side
    18,792x = 182,686,233.60
  5. Step 5: Solve for x
    x = 182,686,233.60/18,792
  6. Step 6: Final answer
    x = 9,721.49

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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.