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Finding the Fourth Proportional to 19,210.92, 28,791.38 and 9,843

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Solution

The fourth proportional to 19,210.92, 28,791.38 and 9,843 is: 14,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210.92 : 28,791.38 = 9,843 : x
  2. Step 2: Convert to fraction form
    19,210.92/28,791.38 = 9,843/x
  3. Step 3: Cross multiply
    19,210.92x = 28,791.38 × 9,843
  4. Step 4: Simplify right side
    19,210.92x = 283,393,553.34
  5. Step 5: Solve for x
    x = 283,393,553.34/19,210.92
  6. Step 6: Final answer
    x = 14,751.69

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1.5x scale

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.