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Finding the Fourth Proportional to 15,112.80, 22,665.42 and 6,354

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Solution

The fourth proportional to 15,112.80, 22,665.42 and 6,354 is: 9,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.80 : 22,665.42 = 6,354 : x
  2. Step 2: Convert to fraction form
    15,112.80/22,665.42 = 6,354/x
  3. Step 3: Cross multiply
    15,112.80x = 22,665.42 × 6,354
  4. Step 4: Simplify right side
    15,112.80x = 144,016,078.68
  5. Step 5: Solve for x
    x = 144,016,078.68/15,112.80
  6. Step 6: Final answer
    x = 9,529.41

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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.