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Finding the Fourth Proportional to 19,388.92, 26,740.36 and 15,846

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Solution

The fourth proportional to 19,388.92, 26,740.36 and 15,846 is: 21,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388.92 : 26,740.36 = 15,846 : x
  2. Step 2: Convert to fraction form
    19,388.92/26,740.36 = 15,846/x
  3. Step 3: Cross multiply
    19,388.92x = 26,740.36 × 15,846
  4. Step 4: Simplify right side
    19,388.92x = 423,727,744.56
  5. Step 5: Solve for x
    x = 423,727,744.56/19,388.92
  6. Step 6: Final answer
    x = 21,854.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.