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Finding the Fourth Proportional to 19,209.92, 28,789.88 and 9,842

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Solution

The fourth proportional to 19,209.92, 28,789.88 and 9,842 is: 14,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209.92 : 28,789.88 = 9,842 : x
  2. Step 2: Convert to fraction form
    19,209.92/28,789.88 = 9,842/x
  3. Step 3: Cross multiply
    19,209.92x = 28,789.88 × 9,842
  4. Step 4: Simplify right side
    19,209.92x = 283,349,998.96
  5. Step 5: Solve for x
    x = 283,349,998.96/19,209.92
  6. Step 6: Final answer
    x = 14,750.19

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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.