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Finding the Fourth Proportional to 19,128, 28,693.08 and 6,816

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Solution

The fourth proportional to 19,128, 28,693.08 and 6,816 is: 10,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,128 : 28,693.08 = 6,816 : x
  2. Step 2: Convert to fraction form
    19,128/28,693.08 = 6,816/x
  3. Step 3: Cross multiply
    19,128x = 28,693.08 × 6,816
  4. Step 4: Simplify right side
    19,128x = 195,572,033.28
  5. Step 5: Solve for x
    x = 195,572,033.28/19,128
  6. Step 6: Final answer
    x = 10,224.38

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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.